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DTSTART;TZID=America/New_York:20251202T161500
DTEND;TZID=America/New_York:20251202T183000
DTSTAMP:20260502T170219
CREATED:20251021T202125Z
LAST-MODIFIED:20251201T192115Z
UID:10003822-1764692100-1764700200@cmsa.fas.harvard.edu
SUMMARY:Homological mirror symmetry for Coulomb branches
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Sebastian Haney\, Harvard \nTitle: Homological mirror symmetry for Coulomb branches \nAbstract: I will describe a result of Aganagic\, Danilenko\, Li\, Shende\, and Zhou which constructs a embeddings of certain cylindrical KLRW categories into Fukaya-Seidel categories of multiplicative Coulomb branches. This can be thought of as a homological mirror symmetry statement relating the Fukaya category of a multiplicative Coulomb branch to the derived category of a resolved additive Coulomb branch. I will describe the construction of the relevant Fukaya–Seidel categories\, and explain how the KRLW relations are realized by counts of holomorphic disks in symmetric products of surfaces. \n\n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_12225/
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-12.2.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251203T140000
DTEND;TZID=America/New_York:20251203T150000
DTSTAMP:20260502T170219
CREATED:20251110T191407Z
LAST-MODIFIED:20251110T225824Z
UID:10003833-1764770400-1764774000@cmsa.fas.harvard.edu
SUMMARY:Machine learning tools for mathematical discovery
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Adam Zsolt Wagner\, Google DeepMind \nTitle: Machine learning tools for mathematical discovery \nAbstract: I will discuss various ML tools we can use today to try to find interesting constructions to various mathematical problems. I will briefly mention simple reinforcement learning setups and PatternBoost\, but the talk will mainly focus on LLM-based tools such as FunSearch and AlphaEvolve. We will discuss the pros and cons of several of these methods\, and try to figure out which one is best for the problems we care about.\nJoint work with François Charton\, Jordan Ellenberg\, Bogdan Georgiev\, Javier Gómez-Serrano\, Terence Tao\, and Geordie Williamson.
URL:https://cmsa.fas.harvard.edu/event/newtech_12325/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-12.3.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251203T170000
DTEND;TZID=America/New_York:20251203T180000
DTSTAMP:20260502T170219
CREATED:20250409T160258Z
LAST-MODIFIED:20251205T171720Z
UID:10003659-1764781200-1764784800@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Madhu Sudan: P vs NP Problem
DESCRIPTION:Pamphlet (pdf) \nSlides (pdf) \nDate: December 3\, 2025 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall D\, 1 Oxford St.\, Cambridge MA \nSpeaker: Madhu Sudan\, Harvard University \nTitle: The P vs. NP problem: An Existential Question for Mathematics \nAt the beginning of the twentieth century\, in response to questions raised by Hilbert\, illustrious mathematicians such as Godel\, Church and Turing formalized the notion of theorems and proofs. Proofs were automatically verifiable while theorems are logical propositions for which proofs exist. The formal definition of a computer\, a definition that had strong influence on the later development of the technology\, was a by-product of the effort to define the phrase “automatically verifiable”! \nWhile the resulting theory had major implications already\, one notion was however missing in the early definitions. Proofs were meant to be easily verifiable\, while determining the truth of a proposition/conjecture (arguably a core task of mathematics) was not necessarily so. But what is “easiness” and how is it to be defined? While this was already hinted at by Godel in the 50s\, the notion was finally formalized in seminal works of Cook\, Levin and Karp in the early 70s. Central notions here included the adoption of the notion that polynomial time algorithms are (the only) tractable ones\, and the realization that algorithms seeking to remove the existential quantifier in the definition of a “theorem” lead naively to exponential time algorithms. But are there no sophisticated algorithms to search for proofs? This is the profound “Is P = NP?” question. \nIn this talk we will introduce the question and explain implications of resolutions of this question to the modern computing infrastructure\, to mathematics and other sciences. We will briefly describe the state of progress on this question and recent progress on weaker forms of this question. Finally we will also aim to connect this question\, and why one may believe that P != NP (proof search can not be automated) even in the face of accumulating evidence on the ability of computers to solve more and more complex mathematical problems\, which seem to implement brute force search in less than polynomial time. \n  \nRead more about the P vs NP Problem at the Clay Math website. \n  \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_12325/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Sudan_web-ad_CROP-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251204T120000
DTEND;TZID=America/New_York:20251204T130000
DTSTAMP:20260502T170219
CREATED:20250904T163130Z
LAST-MODIFIED:20251203T150446Z
UID:10003786-1764849600-1764853200@cmsa.fas.harvard.edu
SUMMARY:Towards a Dolbeault AGT correspondence
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Surya Raghavendran\, Yale \nTitle: Towards a Dolbeault AGT correspondence \nAbstract: The AGT correspondence and its extensions propose geometric constructions of vertex algebras and their modules from the cohomology of various moduli spaces of sheaves on surfaces. Physically\, the correspondence is illuminated throgh the holomorphic–topological twist of the six-dimensional N=(2\,0) superconformal field theories. In this talk\, I will describe a variant of AGT arising instead from the so-called minimal twist of these theories. In this setting\, the natural algebraic structures are holomorphic factorization algebras in three complex dimensions. From these\, one can extract an associative algebra together with a natural module\, which we conjecture to coincide with a quantization of the moduli of Higgs sheaves on surfaces. In examples\, this pair is furthermore expected to admit a Hodge–de Rham deformation to the Heisenberg algebra and its action on the cohomology of Hilbert schemes of surfaces\, as constructed by Grojnowski and Nakajima. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_12425/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-12.4.2025.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251205T120000
DTEND;TZID=America/New_York:20251205T130000
DTSTAMP:20260502T170219
CREATED:20250827T142953Z
LAST-MODIFIED:20251202T160532Z
UID:10003772-1764936000-1764939600@cmsa.fas.harvard.edu
SUMMARY:A combinatorial formula for interpolation Macdonald polynomials
DESCRIPTION:Member Seminar \nSpeaker: Houcine Ben Dali\, Harvard CMSA \nTitle: A combinatorial formula for interpolation Macdonald polynomials \nAbstract: In 1996\, Knop and Sahi introduced a remarkable family of inhomogeneous symmetric polynomials\, defined via vanishing conditions\, whose top homogeneous parts are exactly the Macdonald polynomials. Like the Macdonald polynomials\, these interpolation Macdonald polynomials are closely connected to the Hecke algebra\, and admit nonsymmetric versions\, which generalize the nonsymmetric Macdonald polynomials. I will present a combinatorial formula for interpolation Macdonald polynomials in terms of signed multiline queues. This formula generalizes the combinatorial formula for Macdonald polynomials in terms of multiline queues given by Corteel–Mandelshtam–Williams. This is based on a joint work with Lauren Williams.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-12525/
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-12.5.25.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251208T150000
DTEND;TZID=America/New_York:20251208T160000
DTSTAMP:20260502T170219
CREATED:20251202T152832Z
LAST-MODIFIED:20251202T160431Z
UID:10003841-1765206000-1765209600@cmsa.fas.harvard.edu
SUMMARY:Computing WKB periods 
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Max Meynig\, University of Connecticut \nTitle: Computing WKB periods \nAbstract:  In one dimensional quantum mechanics\, the all-orders WKB method leads to ‘quantum periods’ which are formal power series in \hbar whose coefficients are certain period integrals. These periods\, which limelight in supersymmetric/string theories\, have rich structure and can be computed in a number of ways. I will discuss a new perspective on them and their computation.
URL:https://cmsa.fas.harvard.edu/event/qft_12825/
LOCATION:CMSA Room G02\, 20 Garden Street\, Cambridge\, MA\, 02138
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-12.8.25.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251208T163000
DTEND;TZID=America/New_York:20251208T173000
DTSTAMP:20260502T170219
CREATED:20251202T153625Z
LAST-MODIFIED:20251202T162404Z
UID:10003843-1765211400-1765215000@cmsa.fas.harvard.edu
SUMMARY:Recent Advances in Probabilistically Checkable Proofs
DESCRIPTION:Colloquium \nSpeaker: Dor Minzer (MIT) \nTitle: Recent Advances in Probabilistically Checkable Proofs \nAbstract: The PCP Theorem is a cornerstone of computer science\, with applications to hardness of approximation\, verification\, interactive protocols and more. It asserts a witness for the satisfiability of a given 3CNF formula can be encoded in a robust way that allows local checking.In this talk we discuss recent developments in PCPs\, and their connection with distributed protocols\, high-dimensional expanders and discrete Fourier analysis. Based on joint works with Kai Zhe Zheng\, Mitali Bafna\, Noam Lifshitz\, Nikhil Vyas.
URL:https://cmsa.fas.harvard.edu/event/colloquium-12825/
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-12.8.2025.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251209T161500
DTEND;TZID=America/New_York:20251209T183000
DTSTAMP:20260502T170219
CREATED:20251031T145823Z
LAST-MODIFIED:20251208T150959Z
UID:10003830-1765296900-1765305000@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Lorenzo Riva\, CMSA \nTitle: Aganagic’s invariant is Khovanov homology \nAbstract: Webster computed the Khovanov homology of (the closure of) a braid in terms of the action of that braid on a certain KLRW category. Aganagic proposed that the same computation could be done in the Fukaya-Seidel category of the multiplicative Coulomb branch associated to a weighted quiver. In this talk we will recap the story so far and then sketch LePage and Shende’s proof of Aganagic’s proposal. \n  \nSpeaker: Bowen Yang\, CMSA \nTitle: Some groups from Condensed matter physics \nAbstract: I would like to talk about some groups coming from the study of quantum spin systems. They inspired a construction of generalized homology theories related to Azumaya algebras. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_12925/
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-12.9.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251210T120000
DTEND;TZID=America/New_York:20251210T130000
DTSTAMP:20260502T170219
CREATED:20251209T223200Z
LAST-MODIFIED:20251209T223544Z
UID:10003844-1765368000-1765371600@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Dan Freed\, CMSA
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Dan Freed\, CMSA \nTopic: Constructions of homotopy types in geometry and physics \n 
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_121025/
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-12.10.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251211T140000
DTEND;TZID=America/New_York:20251211T150000
DTSTAMP:20260502T170219
CREATED:20251202T153632Z
LAST-MODIFIED:20251202T161106Z
UID:10003842-1765461600-1765465200@cmsa.fas.harvard.edu
SUMMARY:Covers of curves\, Ceresa cycles\, and unlikely intersections
DESCRIPTION:Algebra Seminar \nSpeaker: Padamavathi Srinivasan\, Boston University \nTitle: Covers of curves\, Ceresa cycles\, and unlikely intersections \nAbstract: The Ceresa cycle is a canonical homologically trivial algebraic cycle associated to a curve in its Jacobian. In his 1983 thesis\, Ceresa showed that this cycle is algebraically nontrivial for a very general complex curve of genus at least 3. In the last few years\, there have been many new results shedding light on the locus in the moduli space of genus g curves where the Ceresa cycle becomes torsion. We will survey these recent results and provide new examples of positive dimensional families of curves where only finitely many members of the family have torsion Ceresa cycle. The main idea is to study covers of curves with many automorphisms\, and we will explain how we use the covering maps together with results on unlikely intersections in abelian varieties to construct such families. This is joint work with Tejasi Bhatnagar\, Sheela Devadas and Toren D’Nelly Warady. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_121125/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-12.11.25.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251215T163000
DTEND;TZID=America/New_York:20251215T173000
DTSTAMP:20260502T170219
CREATED:20251124T150428Z
LAST-MODIFIED:20251211T145044Z
UID:10003836-1765816200-1765819800@cmsa.fas.harvard.edu
SUMMARY:The active Young-Dupré equation
DESCRIPTION:Colloquium \nSpeaker: Julien Tailleur\, MIT \nTitle: The active Young-Dupré equation \nAbstract: The Young-Dupré equation is a cornerstone of the equilibrium theory of capillary and wetting phenomena. In the biological world\, interfacial phenomena are ubiquitous\, from the spreading of bacterial colonies to tissue growth and flocking of birds\, but the description of such active systems escapes the realm of equilibrium physics. I will show how a microscopic\, mechanical definition of surface tension allows building an Active Young-Dupré equation able to account for the partial wetting observed in simulations of active particles interacting via pairwise forces. Remarkably\, the equation shows that the corresponding steady interfaces do not result from a simple balance between the surface tensions at play but instead emerge from a complex feedback mechanism. The interfaces are indeed stabilized by a drag force due to the emergence of steady currents\, which are themselves a by-product of the symmetry breaking induced by the interfaces. These currents also lead to new physics by selecting the sizes and shapes of adsorbed droplets\, breaking the equilibrium scale-free nature of the problem. Finally\, I will demonstrate a spectacular consequence of the negative value of the liquid-gas surface tensions in systems undergoing motility-induced phase separation: partially-immersed objects are expelled from the liquid phase\, in stark contrast with what is observed in passive systems. These results lay the foundations for a theory of wetting in active systems.
URL:https://cmsa.fas.harvard.edu/event/colloquium-121525/
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-12.15.2025.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251216T140000
DTEND;TZID=America/New_York:20251216T150000
DTSTAMP:20260502T170219
CREATED:20251210T174651Z
LAST-MODIFIED:20251211T144851Z
UID:10003845-1765893600-1765897200@cmsa.fas.harvard.edu
SUMMARY:Electrical networks\, Grassmannians\, and cluster algebras
DESCRIPTION:Algebra Seminar \nSpeaker: Lazar Guterman\, Hebrew University of Jerusalem \nTitle: Electrical networks\, Grassmannians\, and cluster algebras \nAbstract: An electrical network with $n$ boundary vertices induces a matrix called the response matrix which measures the electrical properties of the network. The set of response matrices of all electrical networks has a characterization in terms of positivity of circular minors. Alman\, Lian and Tran constructed a cluster algebra on the set of circular minors\, which encodes the tests for positivity of these minors. Lam established the embedding of the set of electrical networks with $n$ boundary vertices into the totally nonnegative Grassmannian $Gr_{\ge0}(n-1\,2n)$. The coordinate ring of the Grassmannian has a cluster algebra structure as was proved by Scott. Given an electrical network\, we find a relation between circular minors of its response matrix and Plücker coordinates of its image in the Grassmannian. Using this property\, we prove that for an odd $n$ the two cluster algebras\, on circular minors and on the Grassmanian\, become isomorphic after a natural freezing and subsequent trivialization of certain variables in their initial seeds. We apply this isomorphism in order to relate the tests for positivity of circular minors to tests for positivity in the Grassmannian. The talk is based on a joint work with Boris Bychkov and Anton Kazakov. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_121625/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-12.16.25.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251216T161500
DTEND;TZID=America/New_York:20251216T183000
DTSTAMP:20260502T170219
CREATED:20251031T150328Z
LAST-MODIFIED:20251031T150328Z
UID:10003824-1765901700-1765909800@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: tba
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_121625/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260127T161500
DTEND;TZID=America/New_York:20260127T183000
DTSTAMP:20260502T170219
CREATED:20250407T174204Z
LAST-MODIFIED:20260126T163039Z
UID:10003739-1769530500-1769538600@cmsa.fas.harvard.edu
SUMMARY:The Quasi-Adiabatic Theorem and All That
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Daniel Spiegel\, Harvard \nTitle: The Quasi-Adiabatic Theorem and All That \nAbstract: Yosuke Kubota has recently made progress on understanding Kitaev’s conjecture by constructing a loop spectrum consisting of spaces of quantum spin systems\, indexed by spatial dimension of the lattice (arXiv: 2503.12618). After a brief reminder on the C*-algebraic formalism of quantum spin systems\, I will discuss Section 2 of this paper\, which covers some of the more analytical tools used to construct the loop spectrum. In particular\, I will focus on the quasi-adiabatic theorem which roughly speaking states that a smooth path of gapped Hamiltonians with unique ground states gives rise to a path of nice automorphisms that map the ground state at time zero to the path of ground states.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_12726/
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-1.27.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260128T160000
DTEND;TZID=America/New_York:20260128T173000
DTSTAMP:20260502T170219
CREATED:20260116T182955Z
LAST-MODIFIED:20260116T182955Z
UID:10003871-1769616000-1769621400@cmsa.fas.harvard.edu
SUMMARY:CMSA Spring Welcome Back Event
DESCRIPTION:CMSA Spring Welcome Back Event \nDate: Jan 28\, 2026 \nTime: 4:00 pm \nLocation: CMSA Common Room\, 20 Garden Street\, Cambridge MA \nAll CMSA and Math affiliates are invited.
URL:https://cmsa.fas.harvard.edu/event/welcome126/
LOCATION:20 Garden Street\, Cambridge\, MA 02138\, MA\, MA\, 02138\, United States
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260129T133000
DTEND;TZID=America/New_York:20260129T143000
DTSTAMP:20260502T170219
CREATED:20251223T195721Z
LAST-MODIFIED:20260122T171100Z
UID:10003860-1769693400-1769697000@cmsa.fas.harvard.edu
SUMMARY:Complete Calabi-Yau Metrics and Optimal Transport
DESCRIPTION:Differential Geometry and Physics Seminar \nSpeaker: Tristan Collins\, University of Toronto \nTitle: Complete Calabi-Yau Metrics and Optimal Transport \nAbstract: I will discuss the connection between optimal transport and the existence of complete Calabi-Yau metrics on log Calabi-Yau varieties.  I will explain how the geometric problem of constructing complete Calabi-Yau metrics gives rise to problems in the boundary regularity theory for optimal transport\, and how ideas from geometry can be used to make progress on some of these problems.  This talk will survey joint works with Li\, Tong\, Tong-Yau\, Firester\, and Tong-Firester.
URL:https://cmsa.fas.harvard.edu/event/dgphys_12926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-1.29.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260129T160000
DTEND;TZID=America/New_York:20260129T170000
DTSTAMP:20260502T170219
CREATED:20250911T184647Z
LAST-MODIFIED:20251223T202516Z
UID:10003792-1769702400-1769706000@cmsa.fas.harvard.edu
SUMMARY:Algebra Seminar
DESCRIPTION:Algebra Seminar \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_12926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260130T120000
DTEND;TZID=America/New_York:20260130T130000
DTSTAMP:20260502T170219
CREATED:20251014T142709Z
LAST-MODIFIED:20260128T171404Z
UID:10003811-1769774400-1769778000@cmsa.fas.harvard.edu
SUMMARY:Some results about saturation
DESCRIPTION:Member Seminar \nSpeaker: Stephen Landsittel \nTitle: Some results about saturation \nAbstract: Given a local ring R we can ask when saturation of ideals in R commutes with other operations on ideals (such as extension to a ring containing R). We show that the condition that extension of ideals along a ring map R \to S commutes with saturation controls inherent properties of the rings R & S\, such as Cohen-Macaulayness and unramifiedness.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-13026/
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-1.30.26.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260130T133000
DTEND;TZID=America/New_York:20260130T163000
DTSTAMP:20260502T170219
CREATED:20260108T211634Z
LAST-MODIFIED:20260122T164709Z
UID:10003870-1769779800-1769790600@cmsa.fas.harvard.edu
SUMMARY:Freedman Seminar: Michael Freedman\, CMSA & Slava Krushkal\, University of Virginia
DESCRIPTION:Freedman Seminar \nSpeakers: Michael Freedman\, CMSA and Slava Krushkal\, University of Virginia (2-3 pm and 3:15-4:15 pm) \nTitle: Formulating 4D surgery for AI agents \nAbstract: The topological category surgery exact sequence is still open for free groups (and most groups of exponential growth). The lack of knowledge is about both surgery and s-cobordism; and the source of the mystery is the same in both cases. Thinking about how to present this problem to AIs has had its own value. In a pair of talks we will explain how we have thought about the problem in the past and how we are thinking about it now.
URL:https://cmsa.fas.harvard.edu/event/freedman_13026/
LOCATION:Hybrid
CATEGORIES:Freedman Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Freedman-Seminar-1.30.26-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260202T150000
DTEND;TZID=America/New_York:20260202T160000
DTSTAMP:20260502T170219
CREATED:20251223T185600Z
LAST-MODIFIED:20260126T185935Z
UID:10003816-1770044400-1770048000@cmsa.fas.harvard.edu
SUMMARY:Reflexive Polytopes and the Convergence of Feynman Integrals
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Pierre Vanhove (Institute of Theoretical Physics – Saclay) \nTitle: Reflexive Polytopes and the Convergence of Feynman Integrals \nAbstract: In the parametric representation\, Feynman integrals can be viewed as Euler integrals defined by the Symanzik polynomials of a graph. The convergence properties of these integrals are intimately tied to the combinatorial geometry of their associated Newton polytopes; specifically\, finiteness is guaranteed when the polytope contains interior points. We present a classification of Feynman integrals associated with polytopes containing a unique interior point\, identifying a subset that are reflexive. Our results show that such reflexive polytopes are surprisingly scarce within the space of Feynman graphs. We conclude by computing several infinite families of these integrals and exploring their connections to mirror symmetry and toric geometry. This is based on joint work with Leonardo de la Cruz and Pavel Novichkov.
URL:https://cmsa.fas.harvard.edu/event/qft_2226/
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-2.2.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260202T163000
DTEND;TZID=America/New_York:20260202T173000
DTSTAMP:20260502T170219
CREATED:20251223T190540Z
LAST-MODIFIED:20260122T163725Z
UID:10003849-1770049800-1770053400@cmsa.fas.harvard.edu
SUMMARY:Bijections for hyperplane arrangements of Coxeter type
DESCRIPTION:Colloquium \nSpeaker: Olivier Bernardi\, Brandeis University \nTitle: Bijections for hyperplane arrangements of Coxeter type \nAbstract: This talk is about real hyperplane arrangements whose hyperplanes are of the form {xi −xj = s} or {xi +xj = s}. We describe a bijective framework for a large family of such arrangements which we call transitive. For each transitive arrangement A\, we give a bijection between the regions of A and a set of decorated trees. Particular cases include the families of Catalan\, Shi\, semiorder and Linial arrangements in type A\, B\, C\, D and BC. We also derive some general enumerative formulas for such families of transitive arrangements.
URL:https://cmsa.fas.harvard.edu/event/colloquium-2226/
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-2.2.2026.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260203T161500
DTEND;TZID=America/New_York:20260203T180000
DTSTAMP:20260502T170219
CREATED:20251223T191910Z
LAST-MODIFIED:20260202T171722Z
UID:10003852-1770135300-1770141600@cmsa.fas.harvard.edu
SUMMARY:More on Kubota's spectrum of invertible states
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: Dan Freed and Bowen Yang\, Harvard CMSA \nTitle: More on Kubota’s spectrum of invertible states \nAbstract: Bowen will explain a construction aptly dubbed “Kitaev’s pump” in Kubota’s paper. Time permitting\, Bowen will demonstrate its ubiquity throughout the study of topological phases\, where it appears under various guises. In the second hour\, Dan will sketch Kubota’s construction of a spectrum from families of invertible quantum lattice systems.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_2326/
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-2.3.26-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260204T130000
DTEND;TZID=America/New_York:20260204T140000
DTSTAMP:20260502T170219
CREATED:20260130T153923Z
LAST-MODIFIED:20260203T152223Z
UID:10003885-1770210000-1770213600@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Ludmil Katzarkov\, University of Miami
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Ludmil Katzarkov\, University of Miami \nTitle: New Birational Invariants \nAbstract: We will introduce the origins of the main ideas of the theory of atoms. Applications follow. Equivariant and mixed atoms will be considered.
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_2426/
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-2.4.2026.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260204T140000
DTEND;TZID=America/New_York:20260204T150000
DTSTAMP:20260502T170219
CREATED:20250128T214750Z
LAST-MODIFIED:20260126T163315Z
UID:10003708-1770213600-1770217200@cmsa.fas.harvard.edu
SUMMARY:Automated Theory Formation and Interestingness in Mathematics
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: George Tsoukalas\, UT Austin Dept. of Computer Science and Google DeepMind. \nTitle: Automated Theory Formation and Interestingness in Mathematics \nAbstract: Advances in modern learning systems are beginning to demonstrate utility for select problems in research mathematics. A broader challenge is that of developing new theories automatically. This area has a rich history\, and is tied to some of the earliest work in AI. In particular\, a central question in this study was measuring the “interestingness” of mathematical concepts. \nIn this talk\, I will review this historical context and present our recent work on using large language models to synthesize interestingness measures that guide theory exploration in elementary number theory from scratch. I will conclude by outlining potential future research directions in this domain. \nJoint work done at UT Austin with Rahul Saha\, Amitayush Thakur\, Sabrina Reguyal\, and Swarat Chaudhuri.
URL:https://cmsa.fas.harvard.edu/event/newtech_2426/
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-2.4.2026.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260204T170000
DTEND;TZID=America/New_York:20260204T180000
DTSTAMP:20260502T170219
CREATED:20250409T160357Z
LAST-MODIFIED:20260210T204515Z
UID:10003723-1770224400-1770228000@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Barry Mazur: About the Birch and Swinnerton–Dyer Conjecture
DESCRIPTION:Date: February 4\, 2026 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall C\, 1 Oxford St.\, Cambridge MA \nSpeaker: Barry Mazur\, Harvard University \nTitle: About the Birch and Swinnerton–Dyer Conjecture \nAbstract: \nIn the 1950s Bryan Birch and Peter Swinnerton–Dyer made computations that suggested a striking connection between a basic global invariant of an elliptic curve E over the field of rational numbers (namely\, the rank of its group of rational points) and certain asymptotics of its local arithmetic invariants (i.e.\, the number of its rational points over finite fields). \nThis initial observation has evolved into their conjecture. My lecture will be an introduction to the general ideas behind its ever-expanding development. \nRead more about the Birch and Swinnerton–Dyer Conjecture at the Clay Math website. \n  \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \nBarry Mazur joined the Harvard University faculty in 1959 as a Junior Fellow in the Society of Fellows and advanced through the ranks to become the Gerhard Gade University Professor of Mathematics\, a position he has held since 1998. During his tenure at Harvard\, he has mentored 60 doctoral students and served as a pivotal figure in bridging topology and number theory\, notably through his classification of the possible torsion subgroups of elliptic curves over the rational numbers (Mazur’s torsion theorem)\, which identifies exactly 15 possible finite groups. This theorem\, detailed in his 1977 paper “Modular curves and the Eisenstein ideal\,” provided crucial insights into the Taniyama-Shimura conjecture and laid groundwork for Andrew Wiles’s 1994 proof of Fermat’s Last Theorem. \nHis broader research includes seminal works on étale homotopy theory (co-authored with Michael Artin in 1969)\, the arithmetic moduli of elliptic curves (with Nicholas M. Katz in 1985)\, and the Iwasawa main conjecture (proved with Andrew Wiles in 1984)\, as well as advancements in p-adic L-functions and the formulation of the Fontaine-Mazur conjecture on Galois representations. Mazur’s influence extends to public communication of mathematics; he has authored books like Imagining Numbers (2003)\, exploring historical perspectives on complex numbers. \nAmong his numerous honors\, Mazur received the Cole Prize in Number Theory from the American Mathematical Society in 1982\, the Chauvenet Prize in 1994 for expository writing\, the Leroy P. Steele Prize for Lifetime Achievement in 2000\, and election to the National Academy of Sciences in 1982. In 2011 (presented in 2013)\, he was awarded the National Medal of Science by President Barack Obama for his pioneering work in these fields.Most recently\, in 2022\, he received the Chern Medal from the International Mathematical Union\, recognizing his profound discoveries and mentorship. \n  \n\n                   \n\nMillennium Prize Problems Lecture Series \n 
URL:https://cmsa.fas.harvard.edu/event/clay_2426/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Mazur_AD.hallc_.web_.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260205T133000
DTEND;TZID=America/New_York:20260205T143000
DTSTAMP:20260502T170219
CREATED:20260122T151622Z
LAST-MODIFIED:20260203T184418Z
UID:10003872-1770298200-1770301800@cmsa.fas.harvard.edu
SUMMARY:Index from a point
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Monica Jinwoo Kang\, Texas A&M University \nTitle: Index from a point \nAbstract: We argue that protected data of 4d N=2 SCFTs admits a purely algebro-geometric characterization. We conjecture that both the Macdonald index (and hence the Schur index) and the Higgs branch are encoded by a bifiltered affine scheme determined by OPE nilpotency and decoupling relations. Focusing on Argyres–Douglas theories\, where the Higgs branch is a point\, we show that this geometric construction suffices to reconstruct the full Macdonald index. This is based on recent works with Craig Lawrie and Jaewon Song.
URL:https://cmsa.fas.harvard.edu/event/dgphys__2526/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-2.5.26_1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260205T144500
DTEND;TZID=America/New_York:20260205T154500
DTSTAMP:20260502T170219
CREATED:20260122T151728Z
LAST-MODIFIED:20260202T164823Z
UID:10003873-1770302700-1770306300@cmsa.fas.harvard.edu
SUMMARY:On E7+1/2 gauge theory
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Yinan Wang\, Peking University \nTitle: On E7+1/2 gauge theory\n\nAbstract: We propose that an exotic gauge theory based on the intermediate Lie algebra E7+1/2 naturally appears in the landscape of 6d F-theory. We give strong evidence of this proposal with 6d anomaly cancellation\, dual M-theory geometry and elliptic genus of the single-string worldsheet CFT. 
URL:https://cmsa.fas.harvard.edu/event/dgphys2526_2/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-2.5.26_2-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260205T160000
DTEND;TZID=America/New_York:20260205T170000
DTSTAMP:20260502T170219
CREATED:20251223T202550Z
LAST-MODIFIED:20251223T202550Z
UID:10003861-1770307200-1770310800@cmsa.fas.harvard.edu
SUMMARY:Algebra Seminar
DESCRIPTION:Algebra Seminar \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_2526/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260206T120000
DTEND;TZID=America/New_York:20260206T130000
DTSTAMP:20260502T170219
CREATED:20250203T163329Z
LAST-MODIFIED:20260204T153228Z
UID:10003712-1770379200-1770382800@cmsa.fas.harvard.edu
SUMMARY:Lie algebra cohomology and Seiberg-Witten theory
DESCRIPTION:Member Seminar \nSpeaker: Ahsan Khan\, Harvard CMSA \nTitle: Lie algebra cohomology and Seiberg-Witten theory \nAbstract: I will discuss how a certain (relative) Lie algebra cochain complex categorifies the Schur index of N=2 supersymmetric gauge theory. For the special case of Seiberg-Witten theory I will provide a conjectured description of this cohomology.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-2626/
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-2.6.26.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260209T150000
DTEND;TZID=America/New_York:20260209T160000
DTSTAMP:20260502T170219
CREATED:20251223T185635Z
LAST-MODIFIED:20260203T185733Z
UID:10003839-1770649200-1770652800@cmsa.fas.harvard.edu
SUMMARY:On the p-curvature of quantum connections of CY threefolds
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Shaoyun Bai (MIT) \nTitle: On the p-curvature of quantum connections of CY threefolds \nAbstract: The small quantum connection of Calabi-Yau varieties has integral coefficients\, thus admits reduction mod a prime number p. A fundamental invariant associated with flat connections over characteristic p is the p-curvature\, which lies at the heart of study of algebraic differential equations. I will explain how to identify the p-curvature of quantum connection of any compact Calabi-Yau threefold with the quantum Steenrod operation\, thereby providing a modular description of the p-curvature in this setting. I will also discuss the role of BPS invariants and the mirror symmetry context. This is based on joint work with Jae Hee Lee.
URL:https://cmsa.fas.harvard.edu/event/qft_2926/
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-2.9.26.docx-scaled.png
END:VEVENT
END:VCALENDAR