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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251104T161500
DTEND;TZID=America/New_York:20251104T183000
DTSTAMP:20260506T031108
CREATED:20251021T201937Z
LAST-MODIFIED:20251031T151517Z
UID:10003819-1762272900-1762281000@cmsa.fas.harvard.edu
SUMMARY:A fully local extension of Chern-Simons theory
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Dan Freed \nTitle: A fully local extension of Chern-Simons theory \nAbstract: The Reshetikhin-Turaev-Witten invariants of 3-manifolds fit into a 3-dimensional topological field theory that also attaches invariants to 2-manifolds and 1-manifolds. It has long been asked to extend to invariants of 0-manifolds as well\, a question that often takes the form: What does Chern-Simons theory attach to a point?. In joint work with Claudia Scheimbauer and Constantin Teleman we use the cobordism hypothesis to construct a fully local version of Chern-Simons theory. We also consider different versions with different tangential structures\, as I will explain.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_11425/
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-11.4.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251105T120000
DTEND;TZID=America/New_York:20251105T130000
DTSTAMP:20260506T031108
CREATED:20251014T151053Z
LAST-MODIFIED:20251014T151917Z
UID:10003817-1762344000-1762347600@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Paul Seidel\, MIT
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Paul Seidel\, MIT \nTopic: Fukaya categories of Landau-Ginzburg models
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_11525/
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-11.5.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251105T140000
DTEND;TZID=America/New_York:20251105T150000
DTSTAMP:20260506T031108
CREATED:20251027T142022Z
LAST-MODIFIED:20251027T144043Z
UID:10003826-1762351200-1762354800@cmsa.fas.harvard.edu
SUMMARY:Discovery of unstable singularity with machine precision
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: Yongji Wang\, NYU Courant Institute of Mathematical Sciences \nTitle: Discovery of unstable singularity with machine precision \nAbstract: Whether singularities can form in fluids remains a foundational unanswered question in mathematics. This phenomenon occurs when solutions to governing equations\, such as the 3D Euler equations\, develop infinite gradients from smooth initial conditions. Historically\, numerical approaches have primarily identified stable singularities. However\, these are not expected to exist for key open problems\, such as the boundary-free Euler and Navier-Stokes cases\, namely the Millennium Prize problem. For these problems\, the true challenge lies in finding unstable singularities\, which are exceptionally elusive\, as any tiny perturbation can divert the system from its blow-up trajectory. \nIn this talk\, I will present a new computational framework which has led to the first systematic discovery of new families of unstable singularities in various fluid equations. Our approach merges curated machine learning architectures with a multi-stage training scheme and a high-precision Gauss-Newton optimizer\, creating a powerful tool for navigating the complex landscape of nonlinear PDEs. Beyond discovering these singularities\, the precision of this method is another key breakthrough\, achieving unprecedented accuracies on the order of $O(10^{-13})$—a level constrained only by the round-off errors of the GPU hardware. This level of precision meets the stringent requirements for rigorous mathematical validation of the discovered solution via computer-assisted proofs\, offering a new pathway to resolving long-standing challenges in mathematical physics. \n 
URL:https://cmsa.fas.harvard.edu/event/newtech_11525/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-11.5.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251106T160000
DTEND;TZID=America/New_York:20251106T170000
DTSTAMP:20260506T031108
CREATED:20250904T163021Z
LAST-MODIFIED:20251104T160806Z
UID:10003784-1762444800-1762448400@cmsa.fas.harvard.edu
SUMMARY:Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Dylan Galt\, Harvard \nTitle: Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons \nAbstract: I will begin by explaining a dimension reduction result for Tian’s generalized ASD instantons over product manifolds\, which generalizes work of Yuanqi Wang on codimension-one reduction and includes the cases of G2 and Spin(7) instantons as well as degree zero Hermitian-Yang-Mills connections. The proof is inspired by a simple observation about the Yang-Mills energy and suggests a natural adiabatic picture for these generalized ASD connections. I will describe ongoing work towards establishing such an adiabatic scheme\, emphasizing some of the complications that arise in the general case and explaining what can be said for G2 instantons. Everything I will talk about is joint work with my collaborator Langte Ma. \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_11625/
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-11.6.2025.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251107T120000
DTEND;TZID=America/New_York:20251107T130000
DTSTAMP:20260506T031108
CREATED:20250827T141526Z
LAST-MODIFIED:20251103T161856Z
UID:10003769-1762516800-1762520400@cmsa.fas.harvard.edu
SUMMARY:Classification of 2D Stabilizer States
DESCRIPTION:Member Seminar \nSpeaker: Bowen Yang \nTitle: Classification of 2D Stabilizer States \nAbstract: I will explain how translation-invariant two-dimensional stabilizer states are completely classified by finite abelian groups with nondegenerate quadratic forms—that is\, by abelian anyon theories. The proof uses the algebraic structure of stabilizer codes as modules over Laurent polynomial rings\, revealing how their physical features reflect in this module-theoretic framework. arXiv:2509.10418
URL:https://cmsa.fas.harvard.edu/event/member-seminar-11725/
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-11.7.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251110T150000
DTEND;TZID=America/New_York:20251110T160000
DTSTAMP:20260506T031108
CREATED:20251014T143715Z
LAST-MODIFIED:20251103T155540Z
UID:10003814-1762786800-1762790400@cmsa.fas.harvard.edu
SUMMARY:The Moyal bracket and the BV cohomology of the spinning particle
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Ezra Getzler\, Northwestern \nTitle: The Moyal bracket and the BV cohomology of the spinning particle \nAbstract: The spinning particle is the one-dimensional reduction of the Neveu-Schwartz-Ramond superstring. It consists of a supersymmetric particle moving in a one-dimensional supergravity background\, and its quantization is the Hilbert superspace of harmonic spinors. (These models are classified by N\, the number of copies of fermionic fields. In this talk\, N=1. The extension to N=2 is work in progress with Ivo.) It is actually an AKSZ model (so a generalization of one-dimensional Chern-Simons)\, and so associated to a differential graded symplectic supermanifold\, by which we mean a pair (ω\,Q)\, where ω is a(n exact) symplectic form and Q is an odd function of degree 1. The cohomology of the ring of functions of this supermanifold with differential the Poisson bracket  with Q determines the classical BV cohomology of the spinning particle\, so is important for understanding perturbative BV quantization of this model. I calculated this cohomology in earlier work for N=1\, and showed that it is somewhat bizarre\, with two series of cohomology classes in arbitrary negative degrees\, each a copy of the functions on the target manifold. \nIn the study of quantum BFV\, we should instead consider the Moyal bracket on the target\, and lift Q to an element Q satisfying [Q\,Q]=0. The cohomology of the differential [Q\,-] is the Moyal cohomology of the differential graded symplectic supermanifold. (This lift corresponds to the choice of a Spinc structure on the target manifold.) In this talk\, I prove that the Moyal cohomology\, unlike the Poisson cohomology\, is well-behaved: in the spectral sequence from Poisson to Moyal cohomology\, the extra cohomology classes of negative degree cancel each other pairwise at the E1 page. \n 
URL:https://cmsa.fas.harvard.edu/event/qft_111025/
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-11.10.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251111T161500
DTEND;TZID=America/New_York:20251111T183000
DTSTAMP:20260506T031108
CREATED:20251021T202013Z
LAST-MODIFIED:20251110T161345Z
UID:10003820-1762877700-1762885800@cmsa.fas.harvard.edu
SUMMARY:Khovanov homology from KLRW algebras
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Sunghyuk Park\, CMSA \nTitle: Khovanov homology from KLRW algebras \nAbstract: This is the first in a four-part series\, organized together with Vasily Krylov\, Sebastian Haney\, and Lorenzo Riva\, aimed at understanding Aganagic’s categorification of quantum link invariants through Coulomb branches and homological mirror symmetry. In this first talk\, I will lay the algebraic background for this story by explaining how Khovanov homology can be understood in terms of higher representation theory via Khovanov-Lauda-Rouquier-Webster (KLRW) algebras.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_111125/
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-11.11.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251114T130000
DTEND;TZID=America/New_York:20251114T160000
DTSTAMP:20260506T031108
CREATED:20251104T215810Z
LAST-MODIFIED:20251105T144505Z
UID:10003832-1763125200-1763136000@cmsa.fas.harvard.edu
SUMMARY:Freedman Seminar: Michael Freedman\, CMSA & Bowen Yang\, CMSA
DESCRIPTION:Freedman Seminar \nSpeaker: Michael Freedman\, Harvard CMSA \nTitle: Sullivan’s work on Lipschitz structures Part II (but self-contained) \n  \nSpeaker: Bowen Yang\, CMSA \nTitle: Deligne and Sullivan’s work on complex bundles with discrete structure group \n 
URL:https://cmsa.fas.harvard.edu/event/freedman_111425/
LOCATION:Virtual
CATEGORIES:Freedman Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Freedman-Seminar-11.14.25.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251117T150000
DTEND;TZID=America/New_York:20251117T160000
DTSTAMP:20260506T031108
CREATED:20251014T143757Z
LAST-MODIFIED:20251112T173007Z
UID:10003815-1763391600-1763395200@cmsa.fas.harvard.edu
SUMMARY:BV and the ThimTFT
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Justin Kulp\, Stony Brook \nTitle: BV and the ThimTFT \nAbstract: The SymTFT (or “quiche”) construction relates different global forms of d-dimensional QFTs with discrete symmetry: realizing different global forms as a (d+1)-dimensional TFT on an interval\, with a common “physical” boundary condition on one side\, and different topological boundary conditions on the other. In my talk\, I will describe an analogue of the SymTFT which relates theories with the same “perturbative equations of motion”\, but different non-perturbative completions.\nI will start with a lightning overview of conformal blocks and relative QFT\, then explain the BV formalism in some detail—focusing on the elegant (super)geometric story in 0d for simplicity. I will argue that there is a natural 1d cohomological TFT (called the ThimTFT) associated to the classical action S\, with different topological boundary conditions described by convergent path-integral contours in a complexified field space. Time permitting\, I will discuss extensions to higher dimensions. Based on WIP.
URL:https://cmsa.fas.harvard.edu/event/qft_111725/
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-11.17.25.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251117T163000
DTEND;TZID=America/New_York:20251117T173000
DTSTAMP:20260506T031108
CREATED:20250925T180503Z
LAST-MODIFIED:20251106T161641Z
UID:10003799-1763397000-1763400600@cmsa.fas.harvard.edu
SUMMARY:Interaction of Statistics and Geometry: A New Landscape for Data Science
DESCRIPTION:Colloquium \nSpeaker: Zhigang Yao (National University of Singapore) \nTitle: Interaction of Statistics and Geometry: A New Landscape for Data Science \nAbstract:  Classical statistics views data as real numbers or vectors in Euclidean space\, but modern challenges increasingly involve data with intrinsic geometric structures. A central problem in this direction is manifold fitting\, with origins in H. Whitney’s work of the 1930s. The Geometric Whitney Problems ask: given a set\, when can we construct a smooth 𝑑-dimensional manifold that approximates it\, and how accurately can we estimate it? \nIn this talk\, I will discuss recent progress on manifold fitting and its role in bridging geometry and data science. While many existing methods rely on restrictive assumptions\, the manifold hypothesis—that data often lie near non-Euclidean structures—remains fundamental in modern statistical learning. I will highlight both theoretical insights and algorithmic challenges\, drawing on recent works with\, as well as ongoing research.
URL:https://cmsa.fas.harvard.edu/event/colloquium_111725/
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-11.17.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251120T140000
DTEND;TZID=America/New_York:20251120T150000
DTSTAMP:20260506T031108
CREATED:20251009T132440Z
LAST-MODIFIED:20251009T132850Z
UID:10003809-1763647200-1763650800@cmsa.fas.harvard.edu
SUMMARY:Differentials and Singularities
DESCRIPTION:Algebra Seminar \nSpeaker: Dawei Chen\, Boston College \nTitle: Differentials and Singularities \nAbstract: Given a holomorphic differential on a smooth algebraic curve\, we associate to it a Gorenstein curve singularity with Gm-action.  Conversely\, we show that every isolated Gorenstein curve singularity with Gm-action appears in this way.  This construction reveals a fascinating relation between differentials and singularities\, where the zero orders of the differentials determine the combinatorial data of the singularities.  In this talk\, I’ll provide many concrete examples of such singularities\, and explain how the study of deformations of these singularities can help us better understand the geometry of moduli spaces of differentials.  This is based on joint work with Fei Yu (Zhejiang University). \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_112025/
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-11.19.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251120T160000
DTEND;TZID=America/New_York:20251120T170000
DTSTAMP:20260506T031108
CREATED:20250904T163048Z
LAST-MODIFIED:20251117T220513Z
UID:10003785-1763654400-1763658000@cmsa.fas.harvard.edu
SUMMARY:Tropical-Topological(Tropological) Sigma Models
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Andrés Franco Valiente\, UC Berkeley \nTitle: Tropical-Topological (Tropological) Sigma Models \nAbstract: Tropical geometry provides a powerful bridge between complex and combinatorial worlds\, allowing certain curve-counting invariants to be computed in a piecewise-linear “tropical” limit. Building on Mikhalkin’s insight that Gromov–Witten invariants can be recovered from tropical curves\, this talk revisits Mikhalkin’s result from the viewpoint of topological field theory and functional integration.  I will first review the topological sigma model and explain how the localization equations admit a natural notion of tropicalization which allows us to reproduce the Gromov-Witten invariants using standard cohomological BRST methods without having to reformulate the functional integral in terms of the tropical semifield. We find that the relevant geometries associated to the tropical limit of the topological sigma models no longer require a complex structure but they are instead based on nilpotent structures on singular foliated manifolds. We close with a discussion on recent progress on how the tropological sigma model has a close connection to Hořava’s topologicial quantum gravity for Ricci Flow in a joint work with Emil Albrychiewicz and Viola Zixin Zhao. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_112025/
LOCATION:Virtual
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-11.20.2025.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251121T120000
DTEND;TZID=America/New_York:20251121T130000
DTSTAMP:20260506T031108
CREATED:20250827T142348Z
LAST-MODIFIED:20251118T150222Z
UID:10003771-1763726400-1763730000@cmsa.fas.harvard.edu
SUMMARY:Optimal learning protocols via statistical physics and control theory
DESCRIPTION:Member Seminar \nSpeaker: Francesco Mori\, CMSA \nTitle: Optimal learning protocols via statistical physics and control theory \nAbstract: Behind the impressive performance of modern machine learning lies a toolkit of training tricks\, from tuning learning rates to curating training data. These heuristics are powerful but hard to interpret and possibly suboptimal\, leaving open the challenge of finding general principles for protocol design. In this talk\, I will present a framework that combines tools from statistical physics and control theory to identify optimal training strategies in simple yet insightful neural network models. In the high-dimensional limit\, the training dynamics can be reduced to closed-form ordinary differential equations for a small set of order parameters that track learning. This reduction allows us to pose the design of training protocols as an optimal control problem directly on the order-parameter dynamics\, with the objective of minimizing the generalization error. This formulation encompasses a variety of learning scenarios and yields principled training strategies that clarify\, and in some cases improve upon\, standard heuristic practices.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-112125/
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-11.21.25.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251124T163000
DTEND;TZID=America/New_York:20251124T173000
DTSTAMP:20260506T031108
CREATED:20251119T163856Z
LAST-MODIFIED:20251119T184001Z
UID:10003834-1764001800-1764005400@cmsa.fas.harvard.edu
SUMMARY:Geometric Simplicity in Quantum Field Theory and Gravity
DESCRIPTION:Colloquium \nSpeaker: Thomas Grimm\, Utrecht University \nTitle: Geometric Simplicity in Quantum Field Theory and Gravity \nAbstract: In physics we attribute much value to the emergence of simplicity\, both conceptually and for computations. Familiar examples include algebraic relations among Feynman amplitudes\, the surprising descriptions arising in large-N or duality limits\, and the central role played by symmetries. In this colloquium we discuss how tame geometry allows one to quantitatively describe such simplifications by introducing a measure of complexity. This framework relies on finiteness: the information content of the functions and domains required to specify a theory\, or an observable is finite. A key strength of the proposal is its generality as it applies to any physical quantity and can therefore be used both to analyze complexities within an individual Quantum Field Theory and to study the entire space of such theories. We present several applications and explain how this perspective ties in with our understanding of the expected properties of effective theories that can be coupled to Quantum Gravity.
URL:https://cmsa.fas.harvard.edu/event/colloquium-112425/
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-11.24.2025.docx-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251125T161500
DTEND;TZID=America/New_York:20251125T183000
DTSTAMP:20260506T031108
CREATED:20251021T202057Z
LAST-MODIFIED:20251124T145931Z
UID:10003821-1764087300-1764095400@cmsa.fas.harvard.edu
SUMMARY:Coulomb branches and KLRW algebras
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker:Vasily Krylov\, CMSA \nTitle: Coulomb branches and KLRW algebras \nAbstract: I will introduce Coulomb branches associated to a pair of a reductive group G and its complex representation N. We will discuss their main geometric properties and examine explicit examples. I will also highlight the connection to the moduli space of monopoles. Time permitting\, we will see how KLRW naturally arise in this context.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_112525/
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-11.25.25-scaled.png
END:VEVENT
END:VCALENDAR