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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250401T110000
DTEND;TZID=America/New_York:20250401T120000
DTSTAMP:20260506T193501
CREATED:20250128T213541Z
LAST-MODIFIED:20250331T195936Z
UID:10003702-1743505200-1743508800@cmsa.fas.harvard.edu
SUMMARY:Low-regularity Local Well-posedness of the Elastic Wave System
DESCRIPTION:General Relativity Seminar \nSpeaker: Sifan Yu\, National University of Singapore \nTitle: Low-regularity Local Well-posedness of the Elastic Wave System \nAbstract: In this talk\, I will present a recent work on the elastic wave system in three spatial dimensions. For admissible harmonic elastic materials\, we prove a low-regularity local well-posedness result for the corresponding elastic wave equations. For such materials\, we can split the dynamics into the “divergence-part” and the “curl-part\,” and each part satisfies a distinct coupled quasilinear wave system with respect to different acoustical metrics. Our main result is that the Sobolev norm H^{3+} of the “divergence-part” (the “faster-wave part”) and the H^{4+} of the “curl-part” (the “slower-wave part”) can be controlled in terms of initial data for short times. We note that the Sobolev norm assumption H^{3+} is optimal for the “divergence-part.” This is a joint work with Xinliang An and Haoyang Chen.
URL:https://cmsa.fas.harvard.edu/event/general-relativity-seminar-4125/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-4.1.2025.docx_11-am.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250401T161500
DTEND;TZID=America/New_York:20250401T181500
DTSTAMP:20260506T193501
CREATED:20250331T192830Z
LAST-MODIFIED:20250331T201035Z
UID:10003729-1743524100-1743531300@cmsa.fas.harvard.edu
SUMMARY:Introduction to the probabilistic approach to Louville theory III
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Bowen Yang\, CMSA \nTitle: Introduction to the probabilistic approach to Louville theory III \nAbstract: I will continue with the construction of Liouville CFT from probabilistic methods\, following a review by Guillarmou\, Kupiainen\, and Rhodes (arXiv:2403.12780). The talk will emphasize technical aspects of Gaussian free fields (GFF) and contrast them with Brownian motion. The references is arXiv:2004.04720
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_4125/
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-4.1.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250402T140000
DTEND;TZID=America/New_York:20250402T150000
DTSTAMP:20260506T193501
CREATED:20250128T214417Z
LAST-MODIFIED:20250403T144343Z
UID:10003706-1743602400-1743606000@cmsa.fas.harvard.edu
SUMMARY:Learning Dynamical Transport without Data
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Michael Albergo (Harvard) \nTitle: Learning Dynamical Transport without Data \nAbstract: Algorithms based on dynamical transport of measure\, such as score-based diffusion models\, have resulted in great progress in the field of generative modeling. However\, these algorithms rely on access to an abundance of data from the target distribution. A complementary problem to this is learning to generate samples from a target distribution when only given query access to the unnormalized log-likelihood or energy function associated to it\, with myriad application in statistical physics\, chemistry\, and Bayesian inference. I will present an algorithm based on dynamical transport to sample from a target distribution in this context\, which can be seen as an augmentation of annealed importance sampling and sequential Monte Carlo. Time permitting\, I will also discuss how to generalize these ideas to dynamics of discrete distributions. This is joint work with Eric Vanden-Eijnden\, Peter Holderrieth\, and Tommi Jaakkola. \n 
URL:https://cmsa.fas.harvard.edu/event/newtech_4225/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-4.2.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250403T100000
DTEND;TZID=America/New_York:20250403T110000
DTSTAMP:20260506T193501
CREATED:20250128T172140Z
LAST-MODIFIED:20250331T191842Z
UID:10003683-1743674400-1743678000@cmsa.fas.harvard.edu
SUMMARY:(Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Rafael Álvarez García (Harvard University) \nTitle: (Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture \nAbstract: We analyze infinite-distance limits in the complex structure moduli space of six-dimensional F-theory\, providing an algebro-geometric classification and a physical interpretation. From the point of view of the Swampland Program\, the motivation is to understand the fate of open-moduli infinite-distance limits in relation with the Distance Conjecture. From an F-theory perspective\, the infinite-distance limits correspond to degenerations of elliptic threefolds leading to non-minimal singularities in codimension one and higher. We show how such non-crepant singularities can be removed by a systematic sequence of blow-ups of the bases of the infinite-distance degenerations\, making their central fibers a union of log Calabi-Yau spaces glued together along their boundaries. We interpret said central fibers as either the endpoints of decompactification limits with six-dimensional defects or as emergent string limits\, providing further evidence for the Emergent String Conjecture. Degenerations leading to strictly non-minimal singularities can correspond both to finite-distance and infinite-distance limits in the open moduli space. We analyze the chain of modifications and base changes necessary to unambiguously determine the fate of such families of F-theory models. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_4325/
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-4.3.2025-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250404T090000
DTEND;TZID=America/New_York:20250405T170000
DTSTAMP:20260506T193501
CREATED:20241213T155434Z
LAST-MODIFIED:20250415T134135Z
UID:10003651-1743757200-1743872400@cmsa.fas.harvard.edu
SUMMARY:Current Developments in Mathematics 2025
DESCRIPTION:When: April 4\, 2025 – April 5\, 2025\n\n\nWhere: Science Center Hall C \nAddress: 1 Oxford Street\, Cambridge\, MA 02138\, United States\n\nSpeaker: Michael Chapman – NYU | Pazit Haim-Kislev – Institute for Advanced Study | Jianfeng Lin – Tsinghua University | Laura Monk – University of Bristol | Ramon van Handel – Princeton University\n\nIN-PERSON REGISTRATION\nLimited funding to help defray travel expenses is available for graduate students and recent PhDs. If you are a graduate student or postdoc and would like to apply for support\, please register and send a letter to cdm@math.harvard.edu. \nA letter indicating your name\, address\, current status\, university affiliation\, citizenship\, and area of study. F1 visa holders are eligible to apply for support. If you are a graduate student\, please send a brief letter of recommendation from a faculty member to explain the relevance of the conference to your studies or research. \nDetailed schedule of lectures and events coming soon. \nOrganizers: David Jerison\, Paul Seidel\, Nike Sun (MIT); Denis Auroux\, Mark Kisin\, Lauren Williams\, Horng-Tzer Yau\, Shing-Tung Yau (Harvard).  \nSponsored by the National Science Foundation (pending)\, Harvard University Mathematics\, and the Massachusetts Institute of Technology. \nHarvard University is committed to maintaining a safe and healthy educational and work environment in which no member of the University community is\, on the basis of sex\, sexual orientation\, or gender identity\, excluded from participation in\, denied the benefits of\, or subjected to discrimination in any University program or activity. More information can be found here. \n\n\nCurrent Developments in Mathematics 2025 \n \n 
URL:https://cmsa.fas.harvard.edu/event/cdm2025/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Conference,Event
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/CDM-2025-Poster-1115-scaled-1.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250404T120000
DTEND;TZID=America/New_York:20250404T130000
DTSTAMP:20260506T193501
CREATED:20241211T195214Z
LAST-MODIFIED:20250328T164025Z
UID:10003645-1743768000-1743771600@cmsa.fas.harvard.edu
SUMMARY:Learning diffusion models in high-dimensions
DESCRIPTION:Member Seminar \nSpeaker: Hugo Cui \nTitle: Learning diffusion models in high-dimensions \nAbstract: We consider the problem of learning a generative model parametrized by a two-layer auto-encoder\, and trained with online stochastic gradient descent\, to sample from a high-dimensional data distribution with an underlying low-dimensional structure. We provide a tight asymptotic characterization of low-dimensional projections of the resulting generated density\, and evidence how mode(l) collapse can arise.  On the other hand\, we discuss how in a case where the architectural bias is suited to the target density\, these simple models can efficiently learn to sample from a binary Gaussian mixture target distribution. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-4425/
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-4.4.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250407T150000
DTEND;TZID=America/New_York:20250407T160000
DTSTAMP:20260506T193501
CREATED:20250128T192454Z
LAST-MODIFIED:20250331T184600Z
UID:10003694-1744038000-1744041600@cmsa.fas.harvard.edu
SUMMARY:Quantum Field Theory and Physical Mathematics
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Matthew Yu (Oxford) \nTitle: A new tangential structure for type IIA string theory \nAbstract: The Green-Schwarz anomaly cancellation condition says that the target space of heterotic string theory must come with a string structure for the theory to be consistent. In this talk we discuss a new tangential structure called string^h\, first introduced by Devalapurkar\, as a spin^c analogue of string. Approximating the correct tangential structure of string theory has many implications\, primarily is the Swampland program via the cobordism conjecture of Mcnamara and Vafa. We will show that the spectrum of string^h has the notable property that it orients tmf_1(n)\, just like how the spectrum of string orients tmf\, by the work of Ando-Hopkins-Rezk. Finally we will show that the anomaly condition of the partition function of M-theory\, studied by Diaconescu-Moore-Witten is implied by a string^h structure on the target space of type IIA\, in parallel to the Green-Schwarz anomaly for heterotic string theory\, and discuss applications for anomaly cancellation.
URL:https://cmsa.fas.harvard.edu/event/qft_4725/
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-4.7.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250407T163000
DTEND;TZID=America/New_York:20250407T173000
DTSTAMP:20260506T193501
CREATED:20241209T163727Z
LAST-MODIFIED:20250401T191454Z
UID:10003634-1744043400-1744047000@cmsa.fas.harvard.edu
SUMMARY:3-d Mirror Symmetry
DESCRIPTION:Colloquium \nSpeaker: Ben Webster\, University of Waterloo & Perimeter Institute \nTitle: 3-d Mirror Symmetry \nAbstract: I’ll give an introduction (or update\, for those who’ve been introduced) to 3d mirror symmetry from the perspective of a mathematician. \n 
URL:https://cmsa.fas.harvard.edu/event/colloquium-4725/
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-4.7.2025.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250408T090000
DTEND;TZID=America/New_York:20250408T103000
DTSTAMP:20260506T193501
CREATED:20250331T204029Z
LAST-MODIFIED:20250409T143732Z
UID:10003731-1744102800-1744108200@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Scott Sheffield (MIT): Yang-Mills theory and random surfaces
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nDate: April 8\, 2025 \nTime: 9:00 – 10:30 am ET \nLocation: CMSA G10\, 20 Garden Street\, Cambridge MA & via Zoom \nSpeaker: Scott Sheffield (MIT) \nTitle: Yang-Mills theory and random surfaces \nAbstract: The Clay Institute famously offered one million dollars to anyone who could mathematically construct and understand a certain continuum version of “Yang-Mills gauge theory.” This theory is the basis of the standard model of physics\, and the heart of the problem is to understand the so-called “Wilson loop expectations.” Following recent work with Sky Cao and Minjae Park\, I will explain how the “Wilson loop expectations” in a lattice Yang-Mills model are equivalent to “insertion costs” of loops in a related random-closed-surface-ensemble model. In a sense\, these results allow us to convert one famously hard problem into another presumably hard problem. But the new problem is all about random surfaces and random permutations\, and it has a lot of relationships with and similarities to other problems we understand (think domino tilings\, random planar maps\, Young tableaux and symmetric group representation theory\, and the Weingarten calculus). It gives us some intuition for *why* certain things should be true like the “area law” or “exponential correlation decay” (what physicists call “quark confinement” or “mass gap”) even if we can’t prove all of them yet. \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars.
URL:https://cmsa.fas.harvard.edu/event/mathscilit2025_ss/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Mathlit_Sheffield_11x17-2.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250409T120000
DTEND;TZID=America/New_York:20250409T130000
DTSTAMP:20260506T193501
CREATED:20250306T143004Z
LAST-MODIFIED:20250306T152429Z
UID:10003718-1744200000-1744203600@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Eric Maskin
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Eric Maskin\, Harvard University \nTopic: The Mathematics of Voting
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_4925/
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-4.9.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250409T140000
DTEND;TZID=America/New_York:20250409T150000
DTSTAMP:20260506T193501
CREATED:20250128T214458Z
LAST-MODIFIED:20250410T150618Z
UID:10003707-1744207200-1744210800@cmsa.fas.harvard.edu
SUMMARY:Can Transformers Do Enumerative Geometry?
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Baran Hashemi\, Technical University of Munich \nTitle: Can Transformers Do Enumerative Geometry? \nAbstract: How can Transformers model and learn enumerative geometry? What is a systematic procedure for using Transformers in abductive knowledge discovery within a mathematician-machine collaboration? In this work\, we introduce a Neural Enumerative Reasoning model for computation of ψ-class intersection numbers on the moduli space of curves. By reformulating the problem as a continuous optimization task\, we compute intersection numbers across a wide value range from 10e-45 to 10e45. To capture the recursive nature inherent in these intersection numbers\, we propose the Dynamic Range Activator (DRA)\, a new activation function that enhances the Transformer’s ability to model recursive patterns and handle severe heteroscedasticity. Given precision requirements for computing the intersections\, we quantify the uncertainty of the predictions using Conformal Prediction with a dynamic sliding window adaptive to the partitions of equivalent number of marked points. Beyond simply computing intersection numbers\, we explore the enumerative “world-model” of Transformers. Our interpretability analysis reveals that the network is implicitly modeling the Virasoro constraints in a purely data-driven manner. Moreover\, through abductive hypothesis testing\, probing\, and causal inference\, we uncover evidence of an emergent internal representation of the large-genus asymptotic of ψ-class intersection numbers. This opens up new possibilities in inferring asymptotic closed-form expressions directly from limited amount of data. \nThis talk is based on https://openreview.net/pdf?id=4X9RpKH4Ls. \n 
URL:https://cmsa.fas.harvard.edu/event/newtech_4925/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-4.9.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250410T100000
DTEND;TZID=America/New_York:20250410T110000
DTSTAMP:20260506T193501
CREATED:20250128T191238Z
LAST-MODIFIED:20250404T155809Z
UID:10003684-1744279200-1744282800@cmsa.fas.harvard.edu
SUMMARY:3d Mirror Symmetry is 2d Mirror Symmetry
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Ki Fung Chan (Chinese University of Hong Kong) \nTitle: 3d Mirror Symmetry is 2d Mirror Symmetry \nAbstract: We introduce an approach to studying 3d mirror symmetry via 2d mirror symmetry. The main observations are: (1) 3d brane transforms are given by SYZ-type transforms; (2) the exchange of symplectic and complex structures in 2d mirror symmetry induces the exchange of Kähler and equivariant parameters in 3d mirror symmetry; and (3) the functionalities of 2d mirror symmetry control the gluing of 3d mirrors. If time permits\, we will also discuss some applications to 2d mirror symmetry at the end of the talk. Joint works with Naichung Conan Leung. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_41025/
LOCATION:Virtual
CATEGORIES:Mathematical Physics and Algebraic Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Mathematical-Physics-and-Algebraic-Geometry-4.10.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250411T120000
DTEND;TZID=America/New_York:20250411T130000
DTSTAMP:20260506T193501
CREATED:20241211T195247Z
LAST-MODIFIED:20250407T150951Z
UID:10003646-1744372800-1744376400@cmsa.fas.harvard.edu
SUMMARY:Homological Invariants in Translation-Invariant Pauli Stabilizer Codes
DESCRIPTION:Member Seminar \nSpeaker: Bowen Yang \nTitle: Homological Invariants in Translation-Invariant Pauli Stabilizer Codes \nAbstract: Pauli stabilizer codes serve as foundational models in quantum error correction and the study of exotic quantum phases. In this talk\, we explore the application of homological methods to translationally invariant Pauli stabilizer codes with qudits of varying dimensions. We introduce a series of invariants\, termed charge modules\, and delve into their properties and physical interpretations. A key focus is on codes whose charge modules exhibit zero Krull dimension\, a condition indicative of the mobility of excitations. Notably\, we demonstrate that this condition is universally met in two-dimensional codes with a unique ground state in infinite volume\, extending prior findings beyond the realm of uniform\, prime qudit dimensions. For systems where all excitations are mobile\, we establish the existence of p-dimensional excitations and associated (D−p−1)-form symmetries corresponding to each element of the p-th charge module. Additionally\, we define a braiding pairing between charge modules in complementary degrees.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-41125/
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-4.11.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250414T150000
DTEND;TZID=America/New_York:20250414T160000
DTSTAMP:20260506T193501
CREATED:20250128T192515Z
LAST-MODIFIED:20250409T174327Z
UID:10003695-1744642800-1744646400@cmsa.fas.harvard.edu
SUMMARY:The Extended Vertex Algebra of 4d N = 2 SCFTs and their Higher Products
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Mitch Weaver\, KAIST \nTitle: The Extended Vertex Algebra of 4d N = 2 SCFTs and their Higher Products \nAbstract: Every 4d N=2 superconformal field theory contains a BPS protected sub-algebra of local operators that has the structure of a vertex operator algebra (VOA). This VOA is identified by passing to the cohomology of a nilpotent supercharge\, T\, whose local operator cohomology is represented by twist-translated Schur operators with support in a Euclidean two-plane. When working in 4d Minkowski space\, this cohomology admits a web of three extended operators (called descent operators) that are constructed from each Schur operator in the VOA\, have worldvolume support in the Lorentzian two-plane that is transverse to the Euclidean plane supporting the VOA\, and behave as point-like insertions in the plane of the VOA\, i.e. as new chiral operators. The combined result is the extended vertex algebra (EVA): a universal extension of the VOA that canonically has the structure of a quasi-VOA\, i.e. a vertex algebra (VA) with no conformal vector but which still possesses a representation of sl(2). After reviewing the VOA of Schur operators\, I will explain the origin of the descent operators and present the OPEs for a subsector of the EVA in the free hyper SCFT.\nTime permitting\, I will also describe the construction and basic properties of a set of higher products that are associated to each descent operator. Such products function as higher dimensional versions of 2d chiral algebra λ-brackets\, i.e. positive mode operators: they are defined on the EVA and map to the operators appearing in the singular terms of OPEs involving descent operators. Their existence offers a route toward sl(2) symmetry enhancement of the EVA and suggests the latter has structural properties that are common to the higher dimensional chiral algebras describing the minimal twists of 3d N = 2 and 4d N = 1 SQFTs. This talk is based on [2211.04410] and forthcoming work.
URL:https://cmsa.fas.harvard.edu/event/qft_41425/
LOCATION:Hybrid – G10
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-4.14.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250414T163000
DTEND;TZID=America/New_York:20250414T173000
DTSTAMP:20260506T193501
CREATED:20241209T163821Z
LAST-MODIFIED:20250410T204704Z
UID:10003635-1744648200-1744651800@cmsa.fas.harvard.edu
SUMMARY:Quantum K-theory at roots of unity
DESCRIPTION:Colloquium \nSpeaker: Andrey Smirnov\, University of North Carolina at Chapel Hill \nTitle: Quantum K-theory at roots of unity \nAbstract: In this talk\, I will discuss a version of quantum K-theory introduced by A.Okounkov\, which can be defined through quasimap counts. In this framework\, the quantum K-theory ring is obtained as a specialization of the equivariant quasimap count at $q=1$\, where $q$ is the equivariant parameter associated with the torus action on the source of the quasimaps. A related\, but less explored\, structure emerges when $q$ is specialized at the roots of unity. I will outline the key ideas behind this construction and its implications. As an application\, I’ll also describe the spectrum of $p$-curvature for the quantum connection\, which offers a new proof of a recent result by P.Etingof and A.Varchenko. This talk is based on joint work with P. Koroteev.
URL:https://cmsa.fas.harvard.edu/event/colloquium-41425/
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-4.14.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250415T110000
DTEND;TZID=America/New_York:20250415T120000
DTSTAMP:20260506T193501
CREATED:20250128T213613Z
LAST-MODIFIED:20250409T142345Z
UID:10003703-1744714800-1744718400@cmsa.fas.harvard.edu
SUMMARY:Positive mass theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds
DESCRIPTION:General Relativity Seminar \nSpeaker: Aghil Alaee\, Clark University \nTitle: Positive mass theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds \nAbstract: One of the fundamental conjectures in mathematical relativity is the positivity of total mass (if it is defined!) for complete non-compact Riemannian manifolds assuming appropriate lower bounds on scalar curvature. This conjecture has been proved for AE manifolds using several techniques\, starting with the celebrated results of Schoen-Yau and Witten. There are counter-examples to this conjecture in the AF\, ALF\, and ALE cases. In this talk\, we will refine this conjecture and prove it for toric 4-manifolds. The proof is robust and can be extended to higher dimensions if additional assumptions are added. This is a joint work with Marcus Khuri and Hari Kunduri.
URL:https://cmsa.fas.harvard.edu/event/general-relativity-seminar-41525/
LOCATION:CMSA G102\, 20 Garden Street\, Cambridge\, MA\, 02138
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-4.15.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250415T161500
DTEND;TZID=America/New_York:20250415T181500
DTSTAMP:20260506T193501
CREATED:20250407T173801Z
LAST-MODIFIED:20250415T133227Z
UID:10003735-1744733700-1744740900@cmsa.fas.harvard.edu
SUMMARY:Instantons on Taub-NUT space and Bow Construction
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Anadil Saeed Rao\, Northeastern University \nTitle: Instantons on Taub-NUT space and Bow Construction \nAbstract: In this talk I will discuss Yang-Mills Instantons in a very special geometric setting: the Taub-NUT space\, which itself is a Gravitational Instanton. In the first part of the talk I will review the essentials of gravitational instanton theory from the differential geometry/physics perspective and discuss the geometry of Taub-NUT space in detail. Then I will review the essentials of the ADHM-Nahm construction which describe Instantons and Monopoles in Euclidean R^4 and R^3 respectively. In the second part of my talk I will extend the ADHM-Nahm description to Instantons on Taub-NUT space and show how the ADHM-Nahm data may be presented in terms of combinatorial diagrams called Bows and their representations.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_41525/
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_4.15.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250416T120000
DTEND;TZID=America/New_York:20250416T130000
DTSTAMP:20260506T193501
CREATED:20250306T144613Z
LAST-MODIFIED:20250306T145201Z
UID:10003719-1744804800-1744808400@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Noah Golowich
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Noah Golowich (MIT) \nTopic: What is length generalization in large language models?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_41625/
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-4.16.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250417T160000
DTEND;TZID=America/New_York:20250417T170000
DTSTAMP:20260506T193501
CREATED:20250108T143958Z
LAST-MODIFIED:20250422T182732Z
UID:10003655-1744905600-1744909200@cmsa.fas.harvard.edu
SUMMARY:Fifth Annual Yip Lecture | Scott Aaronson (UT Austin): How Much Math Is Knowable?
DESCRIPTION:Speaker: Scott Aaronson\, Department of Computer Science\, University of Texas\, Austin \nScott Aaronson is the founding director at the Quantum Information Center at the University of Texas at Austin. \nDate: April 17\, 2025 \nTime: 4:00-5:00 pm ET  (Reception following in the Math Common Room) \nLocation: Harvard Science Center Hall A \n  \nTitle: How Much Math Is Knowable? \nAbstract: Theoretical computer science has over the years sought more and more refined answers to the question of which mathematical truths are knowable by finite beings like ourselves\, bounded in time and space and subject to physical laws.  I’ll tell a story that starts with Gödel’s Incompleteness Theorem and Turing’s discovery of uncomputability.  I’ll then introduce the spectacular Busy Beaver function\, which grows faster than any computable function.  Work by me and Yedidia\, along with recent improvements by O’Rear and Riebel\, has shown that the value of BB(745) is independent of the axioms of set theory; on the other end\, an international collaboration proved last year that BB(5) = 47\,176\,870.  I’ll speculate on whether BB(6) will ever be known\, by us or our AI successors.  I’ll next discuss the P!=NP conjecture and what it does and doesn’t mean for the limits of machine intelligence.  As my own specialty is quantum computing\, I’ll summarize what we know about how scalable quantum computers\, assuming we get them\, will expand the boundary of what’s mathematically knowable.  I’ll end by talking about hypothetical models even beyond quantum computers\, which might expand the boundary of knowability still further\, if one is able (for example) to jump into a black hole\, create a closed timelike curve\, or project oneself onto the holographic boundary of the universe. \n  \nThe Yip Lecture takes place thanks to the support of Dr. Shing-Yiu Yip. \n  \n\nThe previous Yip Lecture featured Josh Tenenbaum (MIT) who spoke on How to grow a mind from a brain: From guessing and betting to thinking and talking \n 
URL:https://cmsa.fas.harvard.edu/event/yip-2025/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Public Lecture,Special Lectures,Yip Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Yip_2025.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250418T120000
DTEND;TZID=America/New_York:20250418T130000
DTSTAMP:20260506T193501
CREATED:20241211T195316Z
LAST-MODIFIED:20250218T160819Z
UID:10003647-1744977600-1744981200@cmsa.fas.harvard.edu
SUMMARY:Member Seminar
DESCRIPTION:Member Seminar \nSpeaker: Han Shao \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-41825/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250421T163000
DTEND;TZID=America/New_York:20250421T173000
DTSTAMP:20260506T193501
CREATED:20241209T163847Z
LAST-MODIFIED:20250418T142045Z
UID:10003636-1745253000-1745256600@cmsa.fas.harvard.edu
SUMMARY:Modeling the emergence of complex cortical structure from simple precursors in the brain: maps\, hierarchies\, and modules
DESCRIPTION:Colloquium \nSpeaker: Ila Fiete\, MIT \nTitle: Modeling the emergence of complex cortical structure from simple precursors in the brain: maps\, hierarchies\, and modules \nAbstract: Modular and hierarchical structures are ubiquitous in the brain. Two distinct hypotheses for such morphogenesis involve genetic specification (the positional information hypothesis) or spontaneous structure emergence from symmetry breaking (the pattern formation hypothesis). Indeed\, there is rich evidence supporting both hypotheses in different systems\, and more recently evidence that both systems might interact\, for instance with genetic specification providing an initial but relatively low-information scaffold of positional guidance and pattern formation constructing sharper structures by bootstrapping from this guidance. In this talk\, I will consider the emergence of two systems in the brain: the visual processing hierarchy with topographic structure\, and a modular cognitive circuit consisting of functionally independent grid cell networks that compute spatial location from velocity cues as animals move and navigate the world. I will describe how simple activity-driven growth and competition rules can lead to the emergence of topographically ordered sensory processing hierarchies\, and how genetically specified smooth gradients with purely local recurrent interactions on two scales can lead to global module emergence. In sum\, simple growth rules\, local interactions and smooth gradients can interact to produce rich emergent order on multiple scales in the form of maps\, modules\, and hierarchies\, with predictions that bridge scales from genes to connectivity to function.
URL:https://cmsa.fas.harvard.edu/event/colloquium-42125/
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-4.21.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250422T110000
DTEND;TZID=America/New_York:20250422T120000
DTSTAMP:20260506T193501
CREATED:20250128T213711Z
LAST-MODIFIED:20250418T204712Z
UID:10003704-1745319600-1745323200@cmsa.fas.harvard.edu
SUMMARY:Hyperbolic equations in a double null gauge
DESCRIPTION:General Relativity Seminar \nSpeaker: Christopher Stith\, University of Michigan \nTitle: Hyperbolic equations in a double null gauge \nAbstract: The hyperbolic nature of the Einstein equations is well-known and has been used in many different contexts. More recently\, the double null gauge has proven to be a powerful tool for quantitative analysis of the Einstein equations. It has the advantage of reducing the equations for many dynamical quantities to ODEs along null curves\, and the Bianchi equations to a first-order hyperbolic system. The double null gauge has been used extensively and to great effect in analyzing the structure of spacetime for many purposes\, including (for instance) stability problems and trapped surface formation. However\, the local existence problem for the Einstein equations in a double null gauge has never been treated in full in its own right. In this talk\, we discuss how to formulate a general procedure for solving the linearized problem\, namely\, the local existence theory for systems of first-order hyperbolic equations in a double null gauge.
URL:https://cmsa.fas.harvard.edu/event/general-relativity-seminar-42225/
LOCATION:CMSA G102\, 20 Garden Street\, Cambridge\, MA\, 02138
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-4.22.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250422T161500
DTEND;TZID=America/New_York:20250422T181500
DTSTAMP:20260506T193501
CREATED:20250421T132929Z
LAST-MODIFIED:20250421T134309Z
UID:10003736-1745338500-1745345700@cmsa.fas.harvard.edu
SUMMARY:Classifying Space for Phases of Matrix Product States
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: Bryan Wang Peng Jun (Harvard) and Bowen Yang (CMSA) \nTitle: Classifying Space for Phases of Matrix Product States \nAbstract: In this talk we will introduce recent work of Beaudry-Hermele-Pflaum-Qi-Spiegel-Stephen (arXiv:2501.14241)\, on constructing a classifying space for phases of matrix product states (MPS).
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_42225/
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-4.22.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250423T120000
DTEND;TZID=America/New_York:20250423T130000
DTSTAMP:20260506T193501
CREATED:20241125T204235Z
LAST-MODIFIED:20250407T150818Z
UID:10003624-1745409600-1745413200@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Alexei Borodin
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Alexei Borodin (MIT) \nTopic: Connections between physics and probability
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_42325/
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-4.23.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250423T140000
DTEND;TZID=America/New_York:20250423T150000
DTSTAMP:20260506T193501
CREATED:20250128T214818Z
LAST-MODIFIED:20250311T184354Z
UID:10003709-1745416800-1745420400@cmsa.fas.harvard.edu
SUMMARY:Machine learning for analytic calculations in theoretical physics
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Matthias Wilhelm (University of Southern Denmark) \nTitle: Machine learning for analytic calculations in theoretical physics \nAbstract: In this talk\, we will present recent progress on applying machine-learning techniques to improve calculations in theoretical physics\, in which we desire exact and analytic results. One example are so-called integration-by-parts reductions of Feynman integrals\, which pose a frequent bottleneck in state-of-the-art calculations in theoretical particle and gravitational-wave physics. These reductions rely on heuristic approaches for selecting a finite set of linear equations to solve\, and the quality of the heuristics heavily influences the performance. In this talk\, we investigate the use of machine-learning techniques to find improved heuristics. We use funsearch\, a genetic programming variant based on code generation by a Large Language Model\, in order to explore possible approaches\, then use strongly typed genetic programming to zero in on useful solutions. Both approaches manage to re-discover the state-of-the-art heuristics recently incorporated into integration-by-parts solvers\, and in one example find a small advance on this state of the art.
URL:https://cmsa.fas.harvard.edu/event/newtech_42325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-4.23.2025.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250424T100000
DTEND;TZID=America/New_York:20250424T110000
DTSTAMP:20260506T193501
CREATED:20250128T191347Z
LAST-MODIFIED:20250421T140604Z
UID:10003686-1745488800-1745492400@cmsa.fas.harvard.edu
SUMMARY:Mass gap in AdS space
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Ziming Ji\, Northeastern University \nTitle: Mass gap in AdS space \nAbstract: AdS space can be used as an IR regulator of QFT. The asymptotic conformal boundary in AdS space provides rich\, unique observables. We study asymptotic free theories in two-dimensional AdS space. By changing the AdS curvature scale \Lambda L\, we observe boundary signals of quantum phase transitions where mass gaps are dynamically generated in the bulk. We also utilize supersymmetry to study gauge theories in AdS4. We argue a connection between the AdS partition function and the prepotential and use the F-maximization of the Nekrasov partition function to study supersymmetric boundary conditions and its connection to the Seiberg-Witten theory. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_42425/
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-4.24.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250425T030000
DTEND;TZID=America/New_York:20250425T160000
DTSTAMP:20260506T193501
CREATED:20250422T134510Z
LAST-MODIFIED:20250422T140503Z
UID:10003713-1745550000-1745596800@cmsa.fas.harvard.edu
SUMMARY:Adversarial KA
DESCRIPTION:Freedman CMSA Seminar \nSpeaker: Slava Dzhenzher\, MIPT \nTitle: Adversarial KA \nAbstract: Regarding the representation theorem of Kolmogorov and Arnold (KA) as an algorithm for representing or «expressing» functions\, we test its robustness by analyzing its ability to withstand adversarial attacks. We find KA to be robust to countable collections of continuous adversaries\, but unearth a question about the equi-continuity of the outer functions that\, so far\, obstructs taking limits and defeating continuous groups of adversaries. This question on the regularity of the outer functions is relevant to the debate over the applicability of KA to the general theory of NNs. Based on  https://arxiv.org/abs/2504.05255 \n  \n 
URL:https://cmsa.fas.harvard.edu/event/freedman_42525/
LOCATION:Virtual
CATEGORIES:Freedman Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Freedman-Seminar-4.25.25.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250428T163000
DTEND;TZID=America/New_York:20250428T173000
DTSTAMP:20260506T193501
CREATED:20241209T171137Z
LAST-MODIFIED:20250423T174326Z
UID:10003637-1745857800-1745861400@cmsa.fas.harvard.edu
SUMMARY:Bass-Note Spectra of locally uniform geometries
DESCRIPTION:Colloquium \nSpeaker: Peter Sarnak\, IAS & Princeton University \nTitle: Bass-Note Spectra of locally uniform geometries \nAbstract: We formulate and report on the problem of the Bass-Note Spectrum of an invariant operator as one varies over locally uniform geometries. In the Euclidean setting this recasts classical problems of Mahler from the geometry of numbers in a new light. For certain operators homogeneous dynamics can be used decisively. In the non-Euclidean setting of hyperbolic manifolds we review some recent developments using the conformal bootstrap method and of random covers to study the Bass-Note spectra. We highlight the theme and impact of rigidity.
URL:https://cmsa.fas.harvard.edu/event/colloquium-42825/
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-4.28.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250429T161500
DTEND;TZID=America/New_York:20250429T181500
DTSTAMP:20260506T193501
CREATED:20250414T213151Z
LAST-MODIFIED:20250428T143404Z
UID:10003740-1745943300-1745950500@cmsa.fas.harvard.edu
SUMMARY:Algebraic approach to the bow construction
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: Anadil Saeed Rao (Northeastern) and Vasily Krylov (CMSA/Harvard) \nTitle: Algebraic approach to the bow construction \nAbstract: Anadil will finish his part of the talk. Vasily will then explain how to understand moduli spaces of instantons on R^4\, monopoles on R^3\, and instantons on Taub-NUT spaces algebraically as so-called bow varieties. We will see how affine type A Nakajima quiver varieties and Slodowy slices arise as special cases of bow varieties. Time permitting\, we will also discuss applications to 3D mirror symmetry and Coulomb branches.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_42925-2/
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-4.29.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250501T100000
DTEND;TZID=America/New_York:20250501T110000
DTSTAMP:20260506T193501
CREATED:20250128T172012Z
LAST-MODIFIED:20250428T143252Z
UID:10003681-1746093600-1746097200@cmsa.fas.harvard.edu
SUMMARY:From superspace to twisted supergravity
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Fabian Hahner\, University of Washington \nTitle: From superspace to twisted supergravity \nAbstract: In this talk\, I will present a geometric perspective on the pure spinor superfield formalism\, which proves fruitful for studying twisted supergravity. For eleven-dimensional supergravity\, we use this technique to construct the full interacting theory together with all its twists in a uniform and geometric way as homotopy Poisson–Chern–Simons theories. In addition to simplifying the computation of twists immensely\, this also provides fresh insights into the supergeometric origin of supergravity. Building on these ideas\, we further construct local dg Lie algebras that recover conformal supergravity multiplets and their twists in terms of a geometric moduli problem on superspace. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_5125/
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-5.1.2025.png
END:VEVENT
END:VCALENDAR