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DTSTART;TZID=America/New_York:20250303T150000
DTEND;TZID=America/New_York:20250303T160000
DTSTAMP:20260409T084609
CREATED:20250128T192248Z
LAST-MODIFIED:20250226T192433Z
UID:10003690-1741014000-1741017600@cmsa.fas.harvard.edu
SUMMARY:Quantum Field Theory and Physical Mathematics
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Kai Xu\, Harvard \nTitle: Finite Landscape of 6d N=(1\,0) Supergravity \nAbstract: We present a bottom-up argument showing that the number of massless fields in six-dimensional quantum gravitational theories with eight supercharges is uniformly bounded. Specifically\, we show that the number of tensor multiplets is bounded by T≤193\, and the rank of the gauge group is restricted to r(V)≤480. Given that F-theory compactifications on elliptic CY 3-folds are a subset\, this provides a bound on the Hodge numbers of elliptic CY 3-folds: h1\,1(CY3)≤491\, h1\,1(Base)≤194 which are saturated by special elliptic CY 3-folds. This establishes that our bounds are sharp and also provides further evidence for the string lamppost principle.
URL:https://cmsa.fas.harvard.edu/event/qft_3325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.3.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250303T163000
DTEND;TZID=America/New_York:20250303T173000
DTSTAMP:20260409T084609
CREATED:20241209T163145Z
LAST-MODIFIED:20250218T153212Z
UID:10003630-1741019400-1741023000@cmsa.fas.harvard.edu
SUMMARY:Large value estimates in number theory and computer science
DESCRIPTION:Colloquium \nSpeaker: Larry Guth\, MIT \nTitle: Large value estimates in number theory and computer science \nAbstract: A large value estimate for a matrix M is a simple type of estimate in quantitative linear algebra. Estimates of this type appear in many parts of math\, both pure and applied. One example is the large value problem for Dirichlet polynomials from analytic number theory\, which is related to estimates about the zeroes of the Riemann zeta function. We will also give some examples from computer science. Many large value problems are difficult. On the pure math side\, the sharp conjecture about large values of Dirichlet polynomials has been open for a long time and is out of reach of current methods. On the computer science side\, we don’t know any efficient algorithm to approximately solve the large value problem for a given matrix M. Many experts think that such an algorithm does not exist. In this talk we will survey how large value estimates come up\, the known methods for working on them\, and some of the obstacles to fully understanding them. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-3325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-3.3.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250305T120000
DTEND;TZID=America/New_York:20250305T130000
DTSTAMP:20260409T084609
CREATED:20241125T204417Z
LAST-MODIFIED:20250228T211437Z
UID:10003625-1741176000-1741179600@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Puskar Mondal
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Puskar Mondal\, Harvard CMSA \nTopic: What is the positive energy theorem?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_3525/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Q-A-Seminar-3.5.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250305T140000
DTEND;TZID=America/New_York:20250305T150000
DTSTAMP:20260409T084609
CREATED:20250123T192715Z
LAST-MODIFIED:20250307T154830Z
UID:10003664-1741183200-1741186800@cmsa.fas.harvard.edu
SUMMARY:Machine Learning G2 Geometry
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Elli Heyes\, Imperial College \nTitle: Machine Learning G2 Geometry \nAbstract: Compact Ricci-flat Calabi-Yau and holonomy G2 manifolds appear in string and M-theory respectively as descriptions of the extra spatial dimensions that arise in the theories. Since 2017 machine-learning techniques have been applied extensively to study Calabi-Yau manifolds but until 2024 no similar work had been carried out on holonomy G2 manifolds. In this talk\, I will firstly show how topological properties of these manifolds can be learnt using neural networks. I will then discuss how one could try to numerically learn metrics on compact holonomy G2 manifolds using machine-learning and why these approximations would be useful in M-theory.
URL:https://cmsa.fas.harvard.edu/event/newtech_3525/
LOCATION:Hybrid
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-3.5.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250306T100000
DTEND;TZID=America/New_York:20250306T110000
DTSTAMP:20260409T084609
CREATED:20250128T171934Z
LAST-MODIFIED:20250227T195753Z
UID:10003680-1741255200-1741258800@cmsa.fas.harvard.edu
SUMMARY:Physical Yukawa Couplings in Heterotic String Compactifications
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Giorgi Butbaia\, University of New Hampshire \nTitle: Physical Yukawa Couplings in Heterotic String Compactifications \nAbstract: Calabi-Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi-Yau space determines the overall matter content in the low-energy effective field theory\, further details of the compactification geometry are needed to calculate the normalized physical couplings and masses of elementary particles. In this talk\, we present novel numerical techniques for computing physically normalized Yukawa couplings in a number of heterotic models in the standard embedding using machine learning. We observe that the results produced using these techniques are in excellent agreement with the expected values. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_3625/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-3.6.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250307T120000
DTEND;TZID=America/New_York:20250307T130000
DTSTAMP:20260409T084609
CREATED:20241211T192236Z
LAST-MODIFIED:20250303T133212Z
UID:10003642-1741348800-1741352400@cmsa.fas.harvard.edu
SUMMARY:A Tetrahedral Approach to Calabi-Yau Geometry
DESCRIPTION:Member Seminar \nSpeaker: Charles Doran\, CMSA \nTitle: A Tetrahedral Approach to Calabi-Yau Geometry \nAbstract:  We will open with a quick introduction to the what and why of Calabi-Yau geometry.  Following this\, we will consider the problem of deforming tetrahedra while preserving the areas of their faces\, following our noses to discover a beautiful path to elliptic curves\, K3 surfaces\, and beyond.  Time permitting\, we will also discuss motivations and applications across physics.  The talk should be broadly accessible. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-3724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-3.7.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250310T150000
DTEND;TZID=America/New_York:20250310T160000
DTSTAMP:20260409T084609
CREATED:20250128T192310Z
LAST-MODIFIED:20250303T211818Z
UID:10003691-1741618800-1741622400@cmsa.fas.harvard.edu
SUMMARY:Comments on Non-Invertible Symmetries in K3 CFTs and the Conway Moonshine Module
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Sarah Harrison\, Northeastern \nTitle: Comments on Non-Invertible Symmetries in K3 CFTs and the Conway Moonshine Module \nAbstract: There is an established connection between discrete symmetry groups of K3 non-linear sigma models and a distinguished N=1 chiral SCFT called the Conway moonshine module. More specifically\, all symmetry groups of K3 NLSMs preserving the N=4 superconformal algebra can be obtained as subgroups of “Conway zero”\, the group of symmetries of the Conway module\, and their explicit action on the BPS spectrum can (almost always) be obtained via traces in the Conway module. A natural question is whether this relation extends to fusion category symmetry of these theories. I will discuss positive evidence in this direction\, by exploring examples of non-invertible topological defect lines in K3 NLSMs and the Conway module. This is based on work in progress with R. Angius\, S. Giaccari\, and R. Volpato.
URL:https://cmsa.fas.harvard.edu/event/qft_31025/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.10.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250311T110000
DTEND;TZID=America/New_York:20250311T120000
DTSTAMP:20260409T084609
CREATED:20250128T213420Z
LAST-MODIFIED:20250312T191855Z
UID:10003700-1741690800-1741694400@cmsa.fas.harvard.edu
SUMMARY:Positive scalar curvature with point singularities
DESCRIPTION:General Relativity Seminar \nSpeaker: Rudolf Zeidler\, Mathematical Institute\, University of Münster \nTitle: Positive scalar curvature with point singularities \nAbstract: I will explain a certain topological construction of positive scalar curvature metrics with uniformly Euclidean ($L^\infty$) point singularities. This provides counterexamples to a conjecture of Schoen. It also shows that there are metrics with uniformly Euclidean point singularities which cannot be smoothed via a geometric flow while simultaneously preserving non-negativity of the scalar curvature. Based on recent joint work with Simone Cecchini and Georg Frenck.
URL:https://cmsa.fas.harvard.edu/event/general-relativity-seminar-31125/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-3.11.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250311T161500
DTEND;TZID=America/New_York:20250311T181500
DTSTAMP:20260409T084609
CREATED:20250310T160401Z
LAST-MODIFIED:20250331T193628Z
UID:10003722-1741709700-1741716900@cmsa.fas.harvard.edu
SUMMARY:Introduction to the probabilistic approach to Louville theory
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Leon Liu\, Harvard \nTitle: Introduction to the probabilistic approach to Louville theory \nAbstract: I will give an introduction to the probabilistic approach to Louville theory\, following Hairer’s notes.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_31125/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-3.11.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250312T120000
DTEND;TZID=America/New_York:20250312T130000
DTSTAMP:20260409T084609
CREATED:20241125T204953Z
LAST-MODIFIED:20250306T144354Z
UID:10003628-1741780800-1741784400@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Dan Freed
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Dan Freed\, Harvard University \nTopic: What are spectra (in homotopy theory)?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_31225/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Q&A Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Q-A-Seminar-3.12.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250312T140000
DTEND;TZID=America/New_York:20250312T150000
DTSTAMP:20260409T084609
CREATED:20250123T195100Z
LAST-MODIFIED:20250327T194539Z
UID:10003665-1741788000-1741791600@cmsa.fas.harvard.edu
SUMMARY:Discovery in Mathematics with Automated Conjecturing
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Randy Davila\, RelationalAI and Rice University \nTitle: Discovery in Mathematics with Automated Conjecturing \nAbstract: Automated conjecturing is a form of artificial intelligence that applies heuristic-driven methods to mathematical discovery. Since the late 1980s\, systems such as Fajtlowicz’s Graffiti\, DeLaViña’s Graffiti.pc\, and TxGraffiti have collectively contributed to over 130 publications in mathematical journals. In this talk\, we outline the evolution of automated conjecturing\, focusing on TxGraffiti\, a program that employs linear optimization methods and several distinct heuristics to generate mathematically meaningful conjectures. We will then introduce GraphMind\, a dueling framework where the Optimist proposes conjectures while the Pessimist seeks counterexamples\, fostering a feedback loop that strengthens automated reasoning. Finally\, we will present GraffitiAI\, a Python package that extends automated conjecturing across various mathematical domains. \nBio: Randy R. Davila is a Lecturer in the Department of Computational Applied Mathematics & Operations Research at Rice University and a Library Engineer at RelationalAI\, specializing in relational knowledge graph systems for intelligent data management. He earned his PhD in Mathematics from the University of Johannesburg in 2019\, with research focused on graph theory and combinatorial optimization. His work explores artificial intelligence in mathematical conjecture generation\, graph theory\, and neural network applications to combinatorial problems. As the creator of TxGraffiti\, he has developed AI-driven systems that have contributed to numerous mathematical publications. His recent projects include GraphMind\, a dueling agent-based framework that pairs conjecture generation with counterexample discovery\, and GraffitiAI\, a Python package for automated conjecturing across mathematical disciplines. \n 
URL:https://cmsa.fas.harvard.edu/event/newtech_31225/
LOCATION:Hybrid – G10
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-3.12.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250312T150000
DTEND;TZID=America/New_York:20250312T170000
DTSTAMP:20260409T084610
CREATED:20250210T183743Z
LAST-MODIFIED:20250307T175626Z
UID:10003711-1741791600-1741798800@cmsa.fas.harvard.edu
SUMMARY:Freedman CMSA Seminar: Michael Freedman (CMSA) & Elia Portnoy (MIT)
DESCRIPTION:Freedman CMSA Seminar \nSpeaker: Michael Freedman\, Harvard CMSA (3:00–4:00 pm ET) \nTitle: How many links can you fit in a box? \nAbstract: I’ll discuss a “made up” problem on the interface of topology and packing\, which may well be classified as “recreational math”.  Here is the first question suppose you have a unit box\, how many unlinked (split) copies of the Hopf link (c_1\,i\,c_2\,i) and be embedded so that for each copy the two components c_1\,i and c_2\,i maintain a distance of at least  some fixed \epsilon >0. Is this number even finite? \n  \nSpeaker: Elia Portnoy\, MIT (4:00–5:00 pm ET) \nTitle: An explicit packing of links in a box and some progress in quantitative embeddings \nAbstract: Following Freedman’s talk\, I’ll begin by showing how to pack a large number of links in a box with certain geometric and topological constraints (joint with Fedya Manin). If time permits\, I’ll also discuss some progress and open questions for the following quantitative embedding problem: given a simplicial complex X\, what is the smallest size of a map from X to R^n so that the preimage of each unit ball intersects a small constant number of simplices? \n 
URL:https://cmsa.fas.harvard.edu/event/freedman_31225/
LOCATION:Hybrid – G10
CATEGORIES:Freedman Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Freedman-Seminar-3.12.25.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250317T164000
DTEND;TZID=America/New_York:20250317T174000
DTSTAMP:20260409T084610
CREATED:20250312T182310Z
LAST-MODIFIED:20250312T183924Z
UID:10003727-1742229600-1742233200@cmsa.fas.harvard.edu
SUMMARY:Verlinde's formula in logarithmic conformal field theory
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Thomas Creutzig (University of Alberta) \nTitle: Verlinde’s formula in logarithmic conformal field theory \nAbstract: Two-dimensional conformal field theories lead to rich mathematical structure. For example its chiral algebra is a vertex algebra and the axioms of rational conformal field theory define modular tensor categories. A highlight of this development was Verlinde’s formula of rational conformal field theory\, a formula that computes tensor product rules from modular data of characters. \nNowadays one is interested in logarithmic conformal field theories\, in particular the underlying representation categories of the vertex algebras are not semi-simple and usually also not finte. Modular data and Verlinde’s formula become quite a mystery and I will explain how to resolve it. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_31725/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-3.17.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250324T090000
DTEND;TZID=America/New_York:20250524T170000
DTSTAMP:20260409T084610
CREATED:20240228T180801Z
LAST-MODIFIED:20250514T204248Z
UID:10002883-1742806800-1748106000@cmsa.fas.harvard.edu
SUMMARY:Program on Classical\, quantum\, and probabilistic integrable systems - novel interactions and applications
DESCRIPTION:Program on Classical\, quantum\, and probabilistic integrable systems – novel interactions and applications \nDates: March 24–May 24\, 2025  \nLocation: CMSA\, 20 Garden Street\, Cambridge MA 02138 \nExactly solvable models have played pivotal roles in mathematics and physics throughout their history. The program is dedicated to exploring and developing a more recent wave of their influence in stochastic models together with accompanying combinatorial\, classical\, and quantum integrable systems. Topics will include: \n\nColored and uncolored interacting particle systems with associated vertex models and line ensembles\nYang-Baxter integrability and its applications in algebraic combinatorics\, quantum systems\, and conformal field theory\nQuantum stochastic models\, quantum exclusion processes\, and free probability\nEmerging new aspects of classical and quantum integrable systems – hydrodynamics\, large deviations of stochastic models\, and random surface models\n\nOrganizers: \n\nAmol Aggarwal\, Columbia University & Clay Mathematics Institute\nGuillaume Barraquand\, École normale supérieure\, Paris\nAlexei Borodin\, MIT\nIvan Corwin\, Columbia University\nPierre Le Doussal\, École normale supérieure\, Paris\nMichael Wheeler\, University of Melbourne\n\nParticipants \n\nDenis Bernard\, Ecole Normale Supérieure Paris\nAlexey Bufetov\, University of Leipzig\nPasquale Calabrese\, SISSA Trieste\nSylvie Corteel\, UC Berkeley\nCesar Cuenca\, Ohio State University\nJan De Gier\, University of Melbourne\nAndrea De Luca\, CNRS\, Cergy Paris University\nBenjamin Doyon\, King’s College London\nPatrik Ferrari\, University of Bonn\nVadim Gorin\, UC Berkeley\nTamara Grava\, SISSA\nJimmy He\, Ohio State University\nJiaoyang Huang\, University of Pennsylvania\nKurt Johansson\, KTH Stockholm\nRichard Kenyon\, Yale\nAlexandre Krajenbrink\, Cambridge Quantum Computing & Quantinuum\nAtsuo Kuniba\, University of Tokyo\nMatteo Mucciconi\, National University of Singapore\nGreta Panova\, University of Southern California\nLeonid Petrov\, University of Virginia\nSylvain Prolhac\, Université Paul Sabatier\, Toulouse\nTomaž Prosen\, University of Ljubljana\nTomohiro Sasamoto\, Tokyo Institute of Technology\nHerbert Spohn\, Technical University of Munich\nLi-Cheng Tsai\, University of Utah\n\nSchedule \nWeek 1\nMonday\, March 24th \n11:00am – 12:00pm Room G-10\, Lecture 1 of 4: Denis Bernard\, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs \n12:00 – 2:00pm Common Room: Program Lunch \n4:00 – 4:30pm Common Room: CMSA colloquium tea \n4:30 – 5:30pm Common Room\, CMSA colloquium: Amol Aggarwal\, Columbia University: The Toda Lattice as a Soliton Gas \n  \nTuesday\, March 25th \n3:30 – 4:00pm Common Room: Program tea \n4:00 – 5:00pm Room G-10\, Seminar: Patrik Ferrari\, Universität Bonn: Decoupling and decay of two-point functions in a two-species TASEP \n  \nWednesday\, March 26th \n11:00am – 12:00pm Room G-10\, Lecture 1 of 3: Atsuo Kuniba\, University of Tokyo: Multispecies ASEP and t-PushTASEP on a ring and a strange five vertex model \n3:00 – 4:00pm Room G-10\, Lecture 2 of 4: Denis Bernard\, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, March 27th \n11:00am – 12:00pm Room G-10\, Lecture 1 of 2: Benjamin Doyon\, King’s College London: The equations of generalised hydrodynamics\, and their unusual diffusve corrections \nAbstract: I will discuss the hydrodynamics of one-dimensional many-body integrable models. At the Euler scale\, this is given by “generalised hydrodynamics”\, whose equations only depend on the asymptotic state content and the two-body scattering shift of the model. I will explain how these equations arise\, and mention some of their properties: Hamiltonian structure\, exact solutions\, absence of shocks. At the diffusive scale\, generic one-dimensional models with state-dependent currents display super-diffusion. However\, integrable models are in a special class of “linearly degenerate systems”\, where there is no superdiffusion\, and one might expect a standard derivative expansion. I will explain how the diffusive corrections to the Euler equations are not given by a derivative expansion\, but instead governed by long-range correlations coming from an Euler-scale fluctuation theory. I will give the general ideas behind this fluctuation theory\, where initial fluctuations are deterministically transported by the Euler equation. I will finally provide arguments for the conjecture that\, once long-range correlations are accounted for\, there is no emergent stochasticity at all scales of hydrodynamics in integrable systems. \n3:30 – 4:00pm Common Room: Program tea \n4:00 – 5:00pm Room G-10\, Seminar: Sylvie Corteel\, University of California at Berkeley: Crystal Skeletons \n  \nFriday\, March 28th \n12:00 – 1:00 pm Common Room: Lunch with CMSA Member Seminar \n2:00 – 3:00pm Room G-10\, Lecture 3 of 4 : Denis Bernard\, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs \n3:30 – 4:00 pm Common Room: Program tea \n  \n\n \nWeek 2\nMonday\, March 31 \n11:00am – 12:00pm Room G-10\, Lecture 2 of 2: Benjamin Doyon\, King’s College London: The equations of generalised hydrodynamics\, and their unusual diffusve corrections \nAbstract: I will discuss the hydrodynamics of one-dimensional many-body integrable models. At the Euler scale\, this is given by “generalised hydrodynamics”\, whose equations only depend on the asymptotic state content and the two-body scattering shift of the model. I will explain how these equations arise\, and mention some of their properties: Hamiltonian structure\, exact solutions\, absence of shocks. At the diffusive scale\, generic one-dimensional models with state-dependent currents display super-diffusion. However\, integrable models are in a special class of “linearly degenerate systems”\, where there is no superdiffusion\, and one might expect a standard derivative expansion. I will explain how the diffusive corrections to the Euler equations are not given by a derivative expansion\, but instead governed by long-range correlations coming from an Euler-scale fluctuation theory. I will give the general ideas behind this fluctuation theory\, where initial fluctuations are deterministically transported by the Euler equation. I will finally provide arguments for the conjecture that\, once long-range correlations are accounted for\, there is no emergent stochasticity at all scales of hydrodynamics in integrable systems. \n12:00 – 2:00pm Common Room: Program Lunch \n2:00 – 3:00pm Room G-10\, Lecture 2 of 3: Atsuo Kuniba\, University of Tokyo: Solutions of tetrahedron and 3D reflection equations from quantum cluster algebras \n\nAbstract: Tetrahedron and 3D equations are three-dimensional generalizations of the Yang-Baxter and the reflection equations. I will explain how quantum cluster algebras lead to solutions that generalize and unify many known solutions.  \n\n3:30 – 4:00pm Program tea \n  \nTuesday\, April 1 \n11:00am – 12:00pm Room G-10\, Lecture 1 of 2: Kurt Johansson\, KTH Stockholm: Extremal particles in uniform random Gelfand-Tsetlin patterns \nAbstract: I will report on joint work with Elnur Emrah on edge fluctuations in uniform random interlacing patterns with fixed top configuration. The goal is to describe all possible limit processes that can occur\, and the conditions under which they occur. \n3:30pm – 4:00pm\, Common Room: Program tea \n  \nWednesday\, April 2 \n11:00am – 12:00pm Room G-10\, Lecture 4 of 4: Denis Bernard\, École normale supérieure de Paris: Quantum Exclusion Processes for (and by) Amateurs \n3:00 – 4:00pm Room G-10\, Lecture 3 of 3: Atsuo Kuniba\, University of Tokyo: Box-ball systems \nAbstract: Box-ball systems are one-dimensional integrable cellular automata introduced in 1990. This talk surveys major developments that have unfolded consistently over the decades\, enriching the scope of the theory. Topics include ultradiscretization\, crystal theory in quantum groups\, the combinatorial and thermodynamic Bethe ansatz\, as well as generalized hydrodynamics. \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, April 3 \n11:00am – 12:00pm Room G-10\, Lecture 2 of 2: Kurt Johansson\, KTH Stockholm: Extremal particles in uniform random Gelfand-Tsetlin patterns \nAbstract: I will report on joint work with Elnur Emrah on edge fluctuations in uniform random interlacing patterns with fixed top configuration. The goal is to describe all possible limit processes that can occur\, and the conditions under which they occur. \n3:30pm – 4:00pm Common Room: Program tea \n  \nFriday\, April 4 \n12:00 – 1:00pm Common Room: CMSA Member Seminar and Lunch \n3:30 – 4:00pm Common Room: Program tea \n  \n\n \nWeek 3\nMonday\, April 7 \n12:00 – 2:00pm Common Room: Program lunch \n4:00 – 4:30pm Tea with CMSA colloquium \n4:30 – 5:30pm CMSA Colloquium: Ben Webster\, University of Waterloo and Perimeter Institute: 3-D Mirror Symmetry \n  \nTuesday\, April 8 \n11:00am – 2:00pm Room G-10\, Pierre Le Doussal\, École normale supérieure de Paris: Exact results for the macroscopic fluctuation theory of the 1D weakly asymmetric exclusion process. \n3:30 – 4:00pm Common Room: Program tea  \n  \nWednesday\, April 9 \n12:00 – 1:00pm Common Room\, CMSA Q&A Seminar and lunch: Eric Maskin\, Harvard Economics: The Mathematics of Voting \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, April 10 \n3:30 – 4:00pm Common Room: Program tea  \n  \nFriday\, April 11 \n12:00 – 1:00pm Common Room: CMSA member seminar and lunch \n3:30 – 4:00pm Common Room: Program tea \n  \n\nWeek 4\nMonday\, April 14 \n12:00 – 2:00pm Common Room: Program lunch \n4:00 – 4:30pm Tea with CMSA colloquium \n4:30 –5:30pm CMSA colloquium: Andrey Smirnov\, University of North Carolina at Chapel Hill: Quantum K-theory at roots of unity \n  \nTuesday\, April 15 \n11:00 am – 12:00pm Room G-10\, Ivan Corwin\, Columbia University: How Yang-Baxter unravels Kardar-Parisi-Zhang \nAbstract: Over the past few decades\, physicists and then mathematicians have sought to uncover the (conjecturally) universal long time and large space scaling limit for the so-called Kardar-Parisi-Zhang (KPZ) class of stochastically growing interfaces in (1+1)-dimensions. Progress has been marked by several breakthroughs\, starting with the identification of a few free-fermionic integrable models in this class and their single-point limiting distributions\, widening the field to include non-free-fermionic integrable representatives\, evaluating their asymptotics distributions at various levels of generality\, constructing the conjectural full space-time scaling limit\, known as the directed landscape\, and checking convergence to it for a few of the free-fermion representatives. \nIn this talk\, I will describe a method that should prove convergence for all known integrable representatives of the KPZ class to this universal scaling limit. The method has been fully realized for the Asymmetric Simple Exclusion Process and the Stochastic Six Vertex Model. It relies on the Yang-Baxter equation as its only input and unravels the rich complexity of the KPZ class and its asymptotics from first principles. This is based on a few works involving Amol Aggarwal\, Alexei Borodin\, Milind Hegde\, Jiaoyang Huang and me. \n3:30 – 4:00pm Common Room: Program tea  \n  \nWednesday\, April 16 \n11:00am – 12:00pm Room G-10\, Tamara Grava\, University of Bristol: Random solitons and soliton gas \nAbstract: A soliton is a localised travelling wave solution of a nonlinear dispersive equation. When the equation is integrable the interaction of many solitons is elastic. We study the behaviour of a set of N solitons for the Korteweg de Vries equation in the limit N goes to infinity (soliton gas) and the interaction of the soliton gas with a distinct soliton that we call a tracer soliton. We show that the average velocity of the tracer soliton satisfies the Zakharov-El kinetic equations. We then consider a set of random N soliton solution q_N(x\,t) and its limiting soliton gas q(x\,t). We prove a central limit theorem for the difference q_N(x\,t)-q(x\,t) for values of x and t that are bounded by log(N). \n12:00 – 1:00pm Common Room: CMSA Q&A seminar and lunch: Noah Golowich\, MIT: What is length generalization in large language models? \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, April 17 \n11:00am – 12:00pm Room G-10\, Guillaume Barraquand\, École normale supérieure de Paris: Large time cumulants of the open KPZ equation \n12:00 – 1:00pm Common Room: lunch with featured Yip Lecture speaker Scott Aaronson and CMSA residents \n3:30pm Common Room: Program tea  \n4:00 – 5:00pm Science Center Hall A: Fifth Annual Yip Lecture\, Scott Aaronson: How Much Math is Knowable? \n5:00 – 6:00pm Math Department Common Room at the Harvard Science Center: Yip Lecture reception \n  \nFriday\, April 18 \n12:00 – 1:00pm Common Room: CMSA Member Seminar and lunch: Han Shao\, Harvard CMSA\, Topic TBD \n3:30 – 4:00pm Common Room: Program tea \n  \n\nWeek 5\n  \nMonday\, April 21 \n11:00am – 12:00pm Room G-10\, Tomaz Prosen\, University of Ljubljana\, Lecture 1 of 3: On Integrable Quantum and Classical Circuits (with Stochastic Boundaries) \nAbstract: I will introduce Yang-Baxter integrable brickwork quantum circuit models and discuss their integrability structure\, specifically\, the transfer matrix\, conservation laws etc. A paradigmatic example\, XXZ or unitary 6-vertex circuits exhibit an unusual link to KPZ scaling at the isotropic (SU(2) symmetric) point. I will establish the link to corresponding classical integrable Landau-Lifshitz circuits and discuss some aspects of transport and full counting statistics. \n12:00 – 2:00pm Common Room: Program Lunch \n4:00 – 4:30pm Common Room: CMSA colloquium tea \n4:30 – 5:30pm  Common Room\, CMSA colloquium: Ila Fiete\, MIT: Modeling the emergence of complex cortical structure from simple precursors in the brain: maps\, hierarchies\, and modules \n  \nTuesday\, April 22 \n11:00am – 12:00pm Room G-10\, Tomohiro Sasamoto\, Tokyo Institute of Technology: Large deviation of symmetric models through classical integrable systems \n3:30pm Common Room: Program tea  \n  \nWednesday\, April 23 \n11:00am – 12:00pm Room G-10\, Tomaz Prosen\, University of Ljubljana: On Integrable Quantum and Classical Circuits (with Stochastic Boundaries) \nAbstract: I will discuss explicit matrix product solutions for quantum many-body Markov chains\, defined for a Yang-Baxter integrable quantum circuit with specific stochastic Kraus processes at its boundaries. In the continuous time limit\, these solutions correspond to steady states of boundary driven Lindbladian dynamics and often yield non-trivial quasi-local conservation laws of integrable spin chains. The specific case of XXZ and Hubbard chain will be discussed. \n12:00 – 1:00pm Common Room: CMSA Q&A seminar and lunch: Alexei Borodin\, MIT: Connections between physics and probability \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, April 24 \n11:00am – 12:00pm Room G-10\, Sylvain Prolhac\, Université Paul Sabatier\, Toulouse: Approach to stationarity for KPZ fluctuations in finite volume \nAbstract: At late times $t$\, the cumulants of the height for the KPZ fixed point in finite volume behave as affine functions of time $c_k(t) = a_k t+b_k$\, up to exponentially small corrections. The constant term $b_k$ is the last remaining information about the initial state observable at long enough times. Two approaches allow us to compute this constant from the totally asymmetric exclusion process\, a discrete version of the KPZ fixed point. First\, an iterated version of the matrix product representation for the stationary state leads\, for arbitrary initial conditions\, to expressions involving extreme value statistics of Brownian paths. On the other hand\, Bethe ansatz leads to rather explicit expressions for simple initial conditions. Comparison between the two approaches then provides conjectures for some generating functions of Brownian paths. \n3:30pm Common Room: Program tea  \n  \nFriday\, April 25 \n11:00am – 12:00pm Room G-10\, Tomaz Prosen\, University of Ljubljana\, Lecture 3 of 3: On Integrable Quantum and Classical Circuits (with Stochastic Boundaries) \nAbstract: In the last lecture I will discuss the possibility of quantum integrability of many-body quantum Markov chain generators\, such as Lindbladians with bulk or boundary dissipation\, and the corresponding circuit (Kraus) counterparts. The paradigmatic example is the XX model with dephasing noise which can be mapped to a Hubbard model with imaginary interaction\, both in the Hamiltonian and circuit formulation. \n3:30 – 4:00pm Common Room: Program tea \n  \n\nWeek 6\n  \nMonday\, April 28 \n11:00am – 12:00pm Room G-10\, Herbert Spohn\, Technische Universitaet Muenchen\, Lecture 1 of 3: Integral many-body systems and GHD \n12:00 – 2:00pm Common Room: Program Lunch \n2:00 – 3:00 pm Room G-10\, Tomohiro Sasamoto\, Tokyo Institute of Technology\, Exact density profile and current fluctuations in a tight-binding chain with dephasing noise \nAbstract: We consider a tight-binding chain with dephasing noise\, whose time evolution is described by the quantum master equation called the Gorini-Kossakowski-Sudarhan-Lindblad (GKSL) equation. By using a connection of this model to the Hubbard model with imaginary coupling [1]\, we study the density profile [2] and the variance of the current [3] exactly for the model on the infinite line by writing down contour integral formulas using Bethe ansatz. The talk is based on collaborations with Taiki Ishiyama and Kazuya Fujimoto.  \n4:00 – 4:30pm Common Room: CMSA colloquium tea \n4:30 –5:30pm Room G-10\, CMSA colloquium: Peter Sarnak\, IAS and Princeton University\, Bass-Note Spectra of locally uniform geometries \n  \nTuesday\, April 29 \n11:00 am – 12:00pm Room G-10\, Pasquale Calabrese\, SISSA Trieste\, Lecture 1 of 3: Quantum Mpemba effect \n2:00 – 3:00 pm Room G-10\, Greta Panova\, University of Southern California\, Grothendieck shenanigans: permutons from pipe dreams via integrable probability \nAbstract: Pipe dreams are tiling models originally introduced to study objects related to the Schubert calculus and K-theory of the Grassmannian. They can also be viewed as ensembles of random lattice walks with various interaction constraints. In our quest to understand what the maximal and typical algebraic objects look like\, we revealed some interesting permutons. The proofs use the theory of the Totally Asymmetric Simple Exclusion Process (TASEP). Deeper connections with domino tilings of the Aztec diamond and its frozen boundary allow us to describe the extreme cases of the original algebraic problem. This is based on joint work with A. H. Morales\, L. Petrov\, D. Yeliussizov. \n3:30 – 4:00pm Common Room: Program tea  \n  \nWednesday\, April 30 \n11:00am – 12:00pm Herbert Spohn\, Technische Universitaet Muenchen\, Lecture 2 of 3: Integral many-body systems and GHD \n12:00 – 1:00pm (tentative) Common Room: CMSA Q&A seminar and lunch \n3:00 – 4pm Room G-10\, Pasquale Calabrese\, SISSA Trieste\, Entanglement evolution and quasiparticle picture 1 \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, May 1 \n11:00am – 12:00pm Room G-10\, Herbert Spohn\, Technische Universitaet Muenchen\, Lecture 3 of 3: Integral many-body systems and GHD \n2:00 – 3:00 pm Room G-10\, Li-Cheng Tsai\, University of Utah\, Stochastic heat flow by moments \nAbstract: The Stochastic Heat Flow (SHF) is the scaling limit of the directed polymers in random environments and the noise-mollified Stochastic Heat Equation (SHE)\, at the critical dimension of two and near the critical temperature. The finite-dimensional distributions of the SHF was obtained by Caravenna\, Sun\, and Zygouras (2023) by proving that the discrete polymers converge to a universal (model-independent) limit. In this talk\, I will report a new approach based on axioms. We formulate the SHF as a two-parameter continuous measure-valued process that satisfies a set of axioms\, and prove the uniqueness in law under these axioms. The key feature of the axioms concerns the matching of the first four moments. As an application\, we prove the convergence of the noise-mollified SHE to the SHF\, which only requires moment estimates. \n3:30pm Common Room: Program tea  \n  \nFriday\, May 2 \n11:00am – 12:00pm Room G-10\, Pasquale Calabrese\, SISSA Trieste\, Lecture 3 of 3: Entanglement evolution and quasiparticle picture 2 \n12:00 – 1:00pm Common Room\, CMSA Member seminar and lunch \n2:00 – 3:00 pm Room G-10\, Leonid Petrov\, University of Virginia: Random Fibonacci Words \nAbstract: Fibonacci words are words of 1’s and 2’s\, graded by the total sum of the digits. They form a differential poset YF which is an estranged cousin of the Young lattice powering irreducible representations of the symmetric group. We introduce families of “coherent” measures on YF depending on many parameters\, which come from the theory of clone Schur functions (Okada 1994). We characterize parameter sequences ensuring positivity of the measures\, and we describe the large-scale behavior of some ensembles of random Fibonacci words. The subject has connections to total positivity of tridiagonal matrices\, Stieltjes moment sequences\, orthogonal polynomials from the (q-)Askey scheme\, and residual allocation (stick-breaking) models. Based on a joint work with Jeanne Scott. \n3:30 – 4:00pm Common Room: Program tea \n\nWeek 7\n  \nMonday\, May 5 \n11:00am – 12:00pm Room G-10\, Jan De Gier\, University of Melbourne\, Lecture 1 of 3: Pfaffian point process for TASEP on the half line \n12:00 – 2:00pm Common Room: Program Lunch \n2:00 – 3:00 pm  Jiaoyang Huang\, University of Pennsylvania: Ramanujan Property and Edge Universality of Random Regular Graphs \nAbstract: Extremal eigenvalues of graphs are of particular interest in theoretical computer science and combinatorics. Specifically\, the spectral gap—the difference between the largest and second-largest eigenvalues—measures the expansion properties of a graph. In this talk\, I will focus on random d-regular graphs.I will begin by providing background on the eigenvalues of random d-regular graphs and their connections to random matrix theory. In the second part of the talk\, I will discuss our recent results on eigenvalue rigidity and edge universality for these graphs. Eigenvalue rigidity asserts that\, with high probability\, each eigenvalue concentrates around its classical location as predicted by the Kesten-McKay distribution. Edge universality states that the second-largest eigenvalue and the smallest eigenvalue of random d-regular graphs converge to the Tracy-Widom distribution from the Gaussian Orthogonal Ensemble. Consequently\, approximately 69% of d-regular graphs are Ramanujan graphs. This work is based on joint work with Theo McKenzie and Horng-Tzer Yau. \n  \n4:00 – 4:30pm Common Room: CMSA colloquium tea \n4:30 –5:30pm Common Room\, CMSA colloquium: Ariel Procaccia\, Harvard University\, Thinking Outside the Ballot Box \n  \nTuesday\, May 6 \n11:00 am – 12:00pm Room G-10\, Jan De Gier\, University of Melbourne\, Lecture 2 of 3: Pfaffian point process for TASEP on the half line \n2:00 – 3:00 Richard Kenyon\, Yale University\, Multinomial dimers and 3d limit shapes \nAbstract: The “multinomial dimer model” on a graph G is the dimer model on the N-fold blow up of G (the graph obtained by replacing each vertex with N vertices and each edge with a complete bipartite graph K_{N\,N}). In the large N limit this model is tractable for general graphs: we find formulas for the partition function and limit shapes in some natural settings\, including a three-dimensional version of the Aztec Diamond. This is joint work with Catherine Wolfram (Yale). \n3:30 – 4:00pm Common Room: Program tea  \n  \nWednesday\, May 7 \n3:00 – 4pm Room G-10\, Jan De Gier\, University of Melbourne\, Lecture 3 of 3: Pfaffian point process for TASEP on the half line \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, May 8: \n2:00 – 3:00 pm Room G-10\, Andrea De Luca\, CNRS Cergy Paris University\, Monitored quantum systems\, product of random matrices and permutations \n3:30pm Common Room: Program tea  \n  \nFriday\, May 9: \n12:00 – 1:00pm Common Room: CMSA Member Seminar and lunch\, Sergiy Verstyuk\, Harvard CMSA\, Title TBD \n2:00 – 3:00 pm Room G-10\, Cesar Cuenca\, Ohio State University\, Random partitions at high temperature \nAbstract: By using Fourier transforms based on Jack symmetric polynomials\, we study discrete particle ensembles x_1>x_2>…>x_N with the inverse temperature beta in the regime where beta tends to zero\, as the number of particles tends to infinity. We prove the LLN and characterize the limiting measure in terms of a moment problem. For fixed-time distributions of special Markov chains\, the limiting measures can be expressed in terms of the eigenvalues of certain Jacobi operators. \n3:30 – 4:00pm Common Room: Program tea \n\nWeek 8\n  \nMonday\, May 12 \n11:00am – 12:00pm Room G-10\, Jimmy He\, Ohio State University\, Symmetries of periodic and free boundary measures on partitions \nAbstract: The periodic and free boundary q-Whittaker measures are probability measures on partitions defined in terms of q-Whittaker functions and an additional parameter $u$ controlling the behavior of the system at the boundary. I will explain a hidden distributional symmetry of this model which exchanges the $u$ and $q$ parameters\, as well as related results on Hall-Littlewood measures. As a special case\, we recover identities of Imamura–Mucciconi–Sasamoto. This is joint work with Michael Wheeler. \n12:00 – 2:00pm Common Room: Program Lunch \n4:00 – 4:30pm Common Room: CMSA colloquium tea \n4:30 – 5:30pm Common Room\, CMSA colloquium: Anna Seigal\, Harvard University\, Factorizations for data analysis \n  \nTuesday\, May 13 \n3:30pm Common Room: Program tea  \n  \nWednesday\, May 14 \n12:00 – 1:00pm Common Room: CMSA Conference Reports seminar and lunch: Hugo Cui\, Harvard CMSA\, reporting on the Perimeter Institute Theory+AI Workshop \n3:00 – 4:00pm Room G-10\, Alexandre Krajenbrink\, Cambridge Quantum Computing and Quantinuum\, Unveiling the classical integrable structure of the weak noise theory of the KPZ class: example of the matrix Log–Gamma polymer and the q-TASEP \n4:30 – 5:30pm Common Room: Program wine and cheese reception \n  \nThursday\, May 15 \n11:00am – 12:00pm Room G-10: Roger Van Peski\, Columbia University\, Integrability in discrete random matrix theory \n\nAbstract: Integrable structure has been well-used in classical random matrix theory\, and recently is also enjoying application in the parallel world of discrete random matrices (over integers\, p-adic integers\, and finite fields). In this talk I will try to cover—at least briefly—the following:\n\n\nSome favorite probabilistic results (convergence of discrete random matrix local limits to a new integrable interacting particle system\, the ‘reflecting Poisson sea’)\,\nSome exact formulas with Hall-Littlewood polynomials that make these results possible\, and \nSome intriguing newer formulas (joint with Jiahe Shen) for Hermitian and antisymmetric p-adic matrices\, which naturally feature ‘formal’ Hall-Littlewood processes with negative t parameter.\n\n\n\n2:00 – 3:00 pm Room G-10\, Matteo Mucciconi\, National University Singapore\, Orthogonality of spin q-Whittaker polynomials \nAbstract: Spin q-Whittaker polynomials are a family of symmetric polynomials that can be defined as partition functions of a solvable lattice model. Their study reveals that they possess mysterious properties such as additional “unorthodox” symmetries\, eigenrelations with respect to difference operators and a self orthogonality that I will prove in the talk. A particular case of these results include a novel orthogonality for the Grothendieck polynomials from K-theory of Grassmannian. I will also discuss applications to exact solutions of directed random polymer models with Beta weights. \n3:30pm Common Room: Program tea  \n  \nFriday\, May 16 \n12:00 – 1:00pm Common Room: CMSA Member Seminar  and lunch: Samy Jelassi\, Echo Chamber: RL Post-training Amplifies Behaviors Learned in Pretraining \n3:30 – 4:00pm Common Room: Program tea \n\nVideos are available on the Youtube Playlist. \n\n 
URL:https://cmsa.fas.harvard.edu/event/integrablesystems2025/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Event,Programs
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250324T150000
DTEND;TZID=America/New_York:20250324T160000
DTSTAMP:20260409T084610
CREATED:20250128T192400Z
LAST-MODIFIED:20250318T141044Z
UID:10003692-1742828400-1742832000@cmsa.fas.harvard.edu
SUMMARY:The Andersen-Kashaev volume conjecture for FAMED geometric triangulations  
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Ka Ho Wong (Yale) \nTitle: The Andersen-Kashaev volume conjecture for FAMED geometric triangulations \nAbstract: In the early 2010s\, Andersen and Kashaev defined a TQFT based on quantum Teichmuller theory. In particular\, they define a partition function for every ordered ideal triangulation of hyperbolic knot complement in $\mathbb{S}^3$ equipped with an angle structure. The Andersen-Kashaev volume conjecture suggests that the partition function can be expressed in terms of a Jones function of the knot which\, in its semi-classical limit\, decay exponentially with decay rate the hyperbolic volume of the knot complement. In this talk\, we will introduce a purely combinatorial condition on triangulations which\, together with the geometricity of the triangulations\, imply the Andersen-Kashaev volume conjecture and its generalization. This talk is based on the joint work with Fathi Ben Aribi.
URL:https://cmsa.fas.harvard.edu/event/qft_32425/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250324T163000
DTEND;TZID=America/New_York:20250324T173000
DTSTAMP:20260409T084610
CREATED:20241209T163216Z
LAST-MODIFIED:20250321T163829Z
UID:10003631-1742833800-1742837400@cmsa.fas.harvard.edu
SUMMARY:The Toda Lattice as a Soliton Gas
DESCRIPTION:Colloquium \nSpeaker: Amol Aggarwal\, Columbia University \nTitle: The Toda Lattice as a Soliton Gas \nAbstract: A basic tenet of integrable systems is that\, under sufficiently irregular initial data\, they can be thought of as dense collections of many solitons\, or “soliton gases.” In this talk we focus on the Toda lattice\, which is an archetypal example of an integrable Hamiltonian dynamical system. We explain how the system\, under certain random initial data\, can be interpreted through solitons\, and provide a framework for studying how these solitons asymptotically evolve in time. The arguments use ideas from random matrix theory\, particularly the analysis of Lyapunov exponents governing the decay rates of eigenvectors of random tridiagonal matrices.
URL:https://cmsa.fas.harvard.edu/event/colloquium-32425/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250325T160000
DTEND;TZID=America/New_York:20250325T170000
DTSTAMP:20260409T084610
CREATED:20250128T213506Z
LAST-MODIFIED:20250326T194012Z
UID:10003701-1742918400-1742922000@cmsa.fas.harvard.edu
SUMMARY:Unstable Fluids in Expanding Cosmologies
DESCRIPTION:General Relativity Seminar \nSpeaker: Elliot Marshal\, School of Mathematics at Monash University \nTitle: Unstable Fluids in Expanding Cosmologies \nAbstract: The FLRW solution is the simplest cosmological model in general relativity\, describing a fluid-filled\, spatially homogeneous universe. While there is extensive literature in the physics community on cosmological models with a linear equation of state \, rigorous stability results have\, until recently\, been limited to FLRW models with accelerated expansion and small sound speeds. In this talk\, I will discuss numerical work on two types of instabilities which can occur in non-linearly perturbed FLRW models outside of this regime. The first concerns a longstanding conjecture of Alan Rendall on FLRW models with positive cosmological constant and super-radiative (K>1/3) equations of state. Our numerical work\, in collaboration with F. Beyer and T.A. Oliynyk\, supports Rendall’s conjecture and highlights the underlying mechanism for the instability. In the second case\, I will discuss evidence that perturbations of slowly expanding (decelerated) FLRW models generically form shocks in finite time. This contrasts with known results for accelerated models where shock formation is suppressed for suitably small perturbations.
URL:https://cmsa.fas.harvard.edu/event/general-relativity-seminar-32525/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250327T100000
DTEND;TZID=America/New_York:20250327T110000
DTSTAMP:20260409T084610
CREATED:20250128T172102Z
LAST-MODIFIED:20250324T152627Z
UID:10003682-1743069600-1743073200@cmsa.fas.harvard.edu
SUMMARY:From quantum difference equations to Maulik-Okounkov quantum affine algebra
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \n*via Zoom only* \nSpeaker: Tianqing Zhu (Tsinghua University) \nTitle: From quantum difference equations to Maulik-Okounkov quantum affine algebra \nAbstract: Capping operator is one the core subject in the K-theoretic quasimap counting to quiver varieties. It has been shown by Okounkov and Smirnov that it satisfies a system of q-difference equations governed by the MO quantum affine algebras. In this talk we will show how to construct the similar quantum difference equation via the shuffle algebras. Then we will show how to use the monodromy data of these quantum difference equations to prove the isomorphism of the positive half of the MO quantum affine algebras of affine type A and the positive half of the quantum toroidal algebras. If time permits\, I will also give a brief explanation on how to extend the proof to the general case. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_32725/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250327T100000
DTEND;TZID=America/New_York:20250327T110000
DTSTAMP:20260409T084610
CREATED:20250128T214249Z
LAST-MODIFIED:20250327T192309Z
UID:10003666-1743069600-1743073200@cmsa.fas.harvard.edu
SUMMARY:AlphaProof: when reinforcement learning meets formal mathematics
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Thomas Hubert (Google DeepMind) \nTitle: AlphaProof: when reinforcement learning meets formal mathematics \nAbstract: Galileo\, the renowned Italian astronomer\, physicist\, and mathematician\, famously described mathematics as the language of the universe. Progress since only confirmed his intuition as the world we live in can be described with extreme precision with just a few mathematical equations.\nIn the last 70 years\, the rise of computers has also enriched our understanding of and revolutionized the world we live in. Mathematics tremendously benefited from this digital revolution as well: while Gauss had to compute primes by hand\, computers and computation are now routinely used in research mathematics and contribute to grand problems like the Birch and Swinnerton-Dyer conjecture\, one of the Millennium Prize Problems.\nToday\, computers are entering a new age\, one in which computation can be transformed into reasoning. In this talk\, I would like to discuss two such developments that will undoubtedly have an integral role to play in the future of mathematics: the concurrent rise of formal mathematics and of machine intelligence.
URL:https://cmsa.fas.harvard.edu/event/newtech_32625/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-3.27.2025.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250328T120000
DTEND;TZID=America/New_York:20250328T130000
DTSTAMP:20260409T084610
CREATED:20241211T195142Z
LAST-MODIFIED:20250324T153000Z
UID:10003644-1743163200-1743166800@cmsa.fas.harvard.edu
SUMMARY:The Competition Complexity of Dynamic Pricing
DESCRIPTION:Member Seminar \nSpeaker: Tomer Ezra \nTitle: The Competition Complexity of Dynamic Pricing \nAbstract: One of the most fundamental questions in mechanism design is the tradeoff between simplicity and optimality. A canonical example of this tradeoff is competition complexity in auctions\, which quantifies how many additional bidders are needed for a simple mechanism to (approximately) match the revenue of the optimal mechanism. \nIn this talk\, we analyze the competition complexity of dynamic pricing in the setting of selling a single item. We establish tight asymptotic guarantees for various scenarios\, including when bidder values are i.i.d.\, independent\, or correlated. Our results characterize the performance of different classes of dynamic pricing algorithms and provide insights into their effectiveness under varying market conditions.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-32825/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-3.28.25.docx-1.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250331T150000
DTEND;TZID=America/New_York:20250331T160000
DTSTAMP:20260409T084610
CREATED:20250128T192422Z
LAST-MODIFIED:20250326T181346Z
UID:10003693-1743433200-1743436800@cmsa.fas.harvard.edu
SUMMARY:Homotopical Methods for Free and Interacting Fermionic SPTs
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Cameron Krulewski\, MIT \nTitle: Homotopical Methods for Free and Interacting Fermionic SPTs \nAbstract: We develop and compute homotopical “free-to-interacting maps” to compare classifications of fermionic symmetry-protected topological phases (SPTs)\, determining when such phases are stable under interactions or\, alternatively\, interaction-enabled. Generalizing work of Freed-Hopkins\, we construct maps from K-theory to Anderson-dual spin bordism in two new situations: for weak phases\, which are SPTs protected by discrete translation symmetry\, and for the “Bott spiral” studied by Queiroz-Khalaf-Stern\, who observed that the tenfold way classification of free theories breaks down to a large 2-torsion interacting classification. Along the way\, we employ T-duality\, generalizations of the spin orientation of KO-theory\, and the Adams spectral sequence. \nThis talk is based on joint work with Omar Antolín Camarena\, Arun Debray\, Natalia Pacheco-Tallaj\, Daniel Sheinbaum\, and Luuk Stehouwer.
URL:https://cmsa.fas.harvard.edu/event/qft_33125/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-3.31.25.png
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