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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251203T140000
DTEND;TZID=America/New_York:20251203T150000
DTSTAMP:20260520T115106
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:20251202T161500
DTEND;TZID=America/New_York:20251202T183000
DTSTAMP:20260520T115106
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:20251201T163000
DTEND;TZID=America/New_York:20251201T173000
DTSTAMP:20260520T115106
CREATED:20251007T152747Z
LAST-MODIFIED:20251201T144411Z
UID:10003807-1764606600-1764610200@cmsa.fas.harvard.edu
SUMMARY:Asymptotic Theory of Attention: In-Context Learning and Sparse Token Detection
DESCRIPTION:Colloquium \nSpeaker: Yue M. Lu\, Harvard University \nTitle: Asymptotic Theory of Attention: In-Context Learning and Sparse Token Detection \nAbstract: Attention-based architectures exhibit striking emergent abilities—from learning tasks directly from context to detecting rare\, weak features in long sequences—yet a rigorous theory explaining these behaviors remains limited. In this talk\, I will present two recent exactly solvable models that develop a high-dimensional asymptotic theory of attention. \n(i) In-context learning. For linear attention pretrained on linear regression tasks\, we derive sharp asymptotics in a regime where token dimension\, context length\, and task diversity all scale proportionally\, while the number of pretraining examples scales quadratically. The resulting learning curve exhibits double descent and a phase transition separating a low-diversity memorization regime from a high-diversity regime of genuine in-context generalization. These predictions closely track empirical behavior in both linear-attention models and nonlinear Transformer architectures. \n(ii) Sparse-token classification. For detecting weak signals embedded in a small\, randomly located subset of tokens\, we analyze a single-layer attention classifier and determine its representational and learnability thresholds. Attention succeeds with only logarithmic signal scaling in the sequence length L\, outperforming linear baselines that require √L scaling. In a proportional high-dimensional regime\, we prove that two gradient descent steps yield nontrivial alignment between the query vector and the hidden signal\, leading to signal-adaptive attention. Exact formulas for the test error\, training loss\, and separability capacity quantify this advantage.
URL:https://cmsa.fas.harvard.edu/event/colloquium-12125/
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-12.1.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251125T161500
DTEND;TZID=America/New_York:20251125T183000
DTSTAMP:20260520T115106
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
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251124T163000
DTEND;TZID=America/New_York:20251124T173000
DTSTAMP:20260520T115106
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:20251121T120000
DTEND;TZID=America/New_York:20251121T130000
DTSTAMP:20260520T115106
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:20251120T160000
DTEND;TZID=America/New_York:20251120T170000
DTSTAMP:20260520T115106
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:20251120T140000
DTEND;TZID=America/New_York:20251120T150000
DTSTAMP:20260520T115106
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:20251117T163000
DTEND;TZID=America/New_York:20251117T173000
DTSTAMP:20260520T115106
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:20251117T150000
DTEND;TZID=America/New_York:20251117T160000
DTSTAMP:20260520T115106
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:20251114T130000
DTEND;TZID=America/New_York:20251114T160000
DTSTAMP:20260520T115106
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:20251111T161500
DTEND;TZID=America/New_York:20251111T183000
DTSTAMP:20260520T115106
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:20251110T150000
DTEND;TZID=America/New_York:20251110T160000
DTSTAMP:20260520T115106
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:20251107T120000
DTEND;TZID=America/New_York:20251107T130000
DTSTAMP:20260520T115106
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:20251106T160000
DTEND;TZID=America/New_York:20251106T170000
DTSTAMP:20260520T115106
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:20251105T140000
DTEND;TZID=America/New_York:20251105T150000
DTSTAMP:20260520T115106
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:20251105T120000
DTEND;TZID=America/New_York:20251105T130000
DTSTAMP:20260520T115106
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:20251104T161500
DTEND;TZID=America/New_York:20251104T183000
DTSTAMP:20260520T115106
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:20251031T120000
DTEND;TZID=America/New_York:20251031T130000
DTSTAMP:20260520T115106
CREATED:20250827T141457Z
LAST-MODIFIED:20251027T151940Z
UID:10003768-1761912000-1761915600@cmsa.fas.harvard.edu
SUMMARY:Skein remain the same
DESCRIPTION:Member Seminar \nSpeaker: Sunghyuk Park\, CMSA \nTitle: Skein remain the same \nAbstract: The count of holomorphic curves in a Calabi-Yau 3-fold ending on a Lagrangian is famously not deformation invariant\, but Ekholm and Shende have shown that it can be made invariant by counting in the skein. Given a 3-manifold M and a branched cover arising from the projection of a Lagrangian 3-manifold L in the cotangent bundle of M\, we use the skein-valued curve count to construct a map from the skein of M to that of L. When M and L are products of surfaces and intervals\, deforming L within the space of Lagrangians yields a skein-valued lift of the Kontsevich-Soibelman wall-crossing formula. After all\, the skeins remain the same. Based on joint work (arXiv:2510.19041) with Tobias Ekholm\, Pietro Longhi\, and Vivek Shende. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-103125/
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-10.31.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251030T160000
DTEND;TZID=America/New_York:20251030T170000
DTSTAMP:20260520T115106
CREATED:20250904T162918Z
LAST-MODIFIED:20251027T145519Z
UID:10003782-1761840000-1761843600@cmsa.fas.harvard.edu
SUMMARY:RCD structures on singular Kahler varieties
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Jian Song\, Rutgers University \nTitle: RCD structures on singular Kahler varieties \nAbstract: Let X be a 3-dimensional projective variety with klt singularities. We prove that every singular Kahler metric on X with bounded Nash entropy and Ricci curvature bounded below induces a unique compact RCD space homeomorphic to the projective variety X itself. In particular\, singular Kahler- Einstein spaces of complex dimension 3 with bounded Nash entropy are compact RCD spaces topologically and holomorphically equivalent to the underlying projective variety.  Such results establish connections among algebraic\, geometric and analytic structures of klt singularities from birational geometry and provide abundant examples of RCD spaces from algebraic geometry via complex Monge-Ampere equations.
URL:https://cmsa.fas.harvard.edu/event/dgphys_103025/
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-10.30.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251030T140000
DTEND;TZID=America/New_York:20251030T150000
DTSTAMP:20260520T115106
CREATED:20251014T143046Z
LAST-MODIFIED:20251030T144718Z
UID:10003812-1761832800-1761836400@cmsa.fas.harvard.edu
SUMMARY:Affine Springer fibers and representations
DESCRIPTION:Algebra Seminar \nSpeaker: Roman Bezrukavnikov\, MIT \nTitle: Affine Springer fibers and representations \nAbstract: Relating representation categories of interest\, such of modules over the quantum group\, to topology of loop spaces has been an important theme in representation theory for some decades. I will describe a result of this sort involving a geometric object that has not appeared in this context until now\, an affine Springer fiber\, and mention its applications. Based on a joint work with Pablo Boixeda Alvarez\, Michael McBreen and Zhiwei Yun. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_103025/
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-10.30.25.docx-2-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251028T161500
DTEND;TZID=America/New_York:20251028T183000
DTSTAMP:20260520T115106
CREATED:20251021T201853Z
LAST-MODIFIED:20251027T135640Z
UID:10003818-1761668100-1761676200@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: (1) Elliott Gesteau\, CMSA (60 min) and  (2) Sanjay Raman\, Harvard (30 min) \n(1) Title: Holography for closed universes \nAbstract: Recent advances in holography and black hole physics have prompted a number of new puzzles related to the physics of closed universes\, which can be argued to have a one-dimensional Hilbert space of states from various perspectives. In this talk I will review this new set of puzzles\, with an emphasis of the mathematical questions that they seem to raise. \n  \n(2) Title: Non-supersymmetric branes\, bordism\, and fractional charges \nAbstract: We dive a little deeper into the non-supersymmetric brane configurations studied in Kaidi-Tachikawa-Yonekura (2024). We study the gravitational analogues of the branes in the aforementioned paper\, relating them to relative defects predicted by the Cobordism Conjecture\, and we argue for the existence of objects carrying fractional heterotic string and M2-brane charge.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_102825/
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-10.28.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251027T163000
DTEND;TZID=America/New_York:20251027T173000
DTSTAMP:20260520T115106
CREATED:20250911T192619Z
LAST-MODIFIED:20250911T193132Z
UID:10003793-1761582600-1761586200@cmsa.fas.harvard.edu
SUMMARY:Rigidity\, expansion and polytopes
DESCRIPTION:Colloquium \nSpeaker: Eran Nevo (Hebrew University of Jerusalem) \nTitle: Rigidity\, expansion and polytopes \nAbstract: Given a graph G and an embedding of its vertices in R^d\, what continuous motions of the vertices preserve all edge lengths? Clearly all motions induced by an isometry of R^d do\, these are the trivial motions; are there any others? If the answer is NO for all (equivalently\, for one) generic embedding\, G is called d-rigid. \nWhat are the d-rigid graphs? \nThis problem has been extensively studied since the 70s\, and is still widely open for d≥3. It is studied mainly from algebraic geometry and combinatorial points of view. Variants of it\, especially in dimensions 2 and 3\, are of importance also beyond mathematics\, e.g. in structural engineering\, computational biology and more. \nI will focus on a quantitative version of rigidity via spectral analysis of the related stiffness matrix\, including the construction of “rigidity expanders”\, generalizing expander graphs. Higher dimensional notions of rigidity and of stiffness matrices\, and their relation to the study of polytopes\, will be addressed too.
URL:https://cmsa.fas.harvard.edu/event/colloquium_102725/
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-10.27.2025.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251027T150000
DTEND;TZID=America/New_York:20251027T160000
DTSTAMP:20260520T115106
CREATED:20250924T183029Z
LAST-MODIFIED:20251024T144939Z
UID:10003798-1761577200-1761580800@cmsa.fas.harvard.edu
SUMMARY:de Rham Theory in Derived Differential Geometry
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Grigorii Taroian\, U Toronto \nTitle: de Rham Theory in Derived Differential Geometry \nAbstract: In the talk\, I will describe recent progress in building a version of de Rham theory for derived manifolds and derived differentiable stacks.\nDerived differential geometry is a nascent field applying techniques from derived algebraic geometry to the study of spaces with smooth structures. As such\, it serves as a natural home for studying objects arising in BV formalism. For instance\, concepts such as critical loci of action functionals or their quotients by gauge actions can be naturally interpreted as derived differentiable stacks.\nIn our work\, we build a version of de Rham theory for these spaces and prove a version of the de Rham isomorphism. Due to the highly singular nature of all objects involved\, developing such a theory is significantly more challenging than in the usual differential geometry\, and thus\, we construct our formalism with inspiration from algebraic geometry rather than classical differential topology. As a main application of the developed theory\, we obtain a version of the comparison morphism between de Rham and constant sheaf cohomology arising from the corresponding map of stacks. This should enable further developments\, with a view towards a fully-fledged theory of shifted symplectic structures for derived differentiable stacks.\nThe talk is based on a preprint of the same name\, arXiv:2505.03978.
URL:https://cmsa.fas.harvard.edu/event/qft_102725/
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-10.27.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251024T120000
DTEND;TZID=America/New_York:20251024T130000
DTSTAMP:20260520T115106
CREATED:20250827T141425Z
LAST-MODIFIED:20251020T181711Z
UID:10003767-1761307200-1761310800@cmsa.fas.harvard.edu
SUMMARY:Analytic Spread of Binomial Edge Ideals
DESCRIPTION:Member Seminar \nSpeaker: Stephen Landsittel\, CMSA \nTitle: Analytic Spread of Binomial Edge Ideals \nAbstract: To an ideal J in a polynomial ring R over a field K we associate its analytic spread \ell(J)\, which is the dimension of the fiber cone F(J) of J. When J is graded and generated in a single degree d\, then F(J) is a finite type K-algebra. \nTo a graph G we associate its binomial edge ideal: J_G:= (x_i y_j – x_jy_i | {i\,j} is an edge of G). \nIn this talk we will discuss recent work where sharp bounds are given for \ell(J_G) and we compute the exact value when G is a pseudoforest. We accomplish this by computing the transcendence degree trdeg_{K} F(J)\, of the fiber cone over K.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-102425/
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-10.24.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251023T160000
DTEND;TZID=America/New_York:20251023T170000
DTSTAMP:20260520T115106
CREATED:20250904T162649Z
LAST-MODIFIED:20251021T144005Z
UID:10003781-1761235200-1761238800@cmsa.fas.harvard.edu
SUMMARY:On some new irrationality results
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Ron Donagi\, UPenn \nTitle: On some new irrationality results \nAbstract: An algebraic variety X is rational if a Zariski-open subset of X is isomorphic to a Zariski-open subset of projective space. A weaker property is unirationality: X is unirational if a Zariski-open subset of projective space maps onto a Zariski-open subset of X. These properties are equivalent in dimensions 1 and 2. In the seventies it was discovered that they are not equivalent in dimension 3\, as several different approaches succeeded in proving irrationality of some unirational varieties. The theory of Hodge atoms\, recently developed by Katzarkov\, Kontsevich\, Pantev and Yu\, uses ideas from mirror symmetry and quantum cohomology to exhibit new birational invariants capable of proving irrationality of some 4-dimensional unirational varieties. We illustrate the power of this new technique by applying it to the 4 dimensional intersection of quadrics in P^7. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_102325/
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-10.23.2025.docx-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251023T140000
DTEND;TZID=America/New_York:20251023T150000
DTSTAMP:20260520T115106
CREATED:20250911T184605Z
LAST-MODIFIED:20251021T143543Z
UID:10003791-1761228000-1761231600@cmsa.fas.harvard.edu
SUMMARY:Character sheaves on the loop Lie algebra and its global implications
DESCRIPTION:Algebra Seminar \nSpeaker: Zhiwei Yun\, MIT \nTitle: Character sheaves on the loop Lie algebra and its global implications \nAbstract: Motivated by Lusztig’s definition of character sheaves on a reductive Lie algebra\, we propose a definition of character sheaves on the loop Lie algebra. The construction can be viewed as a p-adic analogue of the orbit method\, and the resulting sheaves are closely related to characters of supercuspidal representations of J.K.Yu. Further\, the construction suggests a definition of wildly ramified Hitchin moduli spaces suitable for the study of ramified geometric Langlands. This is joint work with Bao Chau Ngo. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_102325/
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-10.23.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251022T140000
DTEND;TZID=America/New_York:20251022T150000
DTSTAMP:20260520T115106
CREATED:20251008T132005Z
LAST-MODIFIED:20251008T133142Z
UID:10003808-1761141600-1761145200@cmsa.fas.harvard.edu
SUMMARY:The Carleson project: A collaborative formalization
DESCRIPTION:New Technologies in Mathematics Seminar \nSpeaker: María Inés de Frutos Fernández\, Mathematical Institute\, University of Bonn \nTitle: The Carleson project: A collaborative formalization \nAbstract: A well-known result in Fourier analysis establishes that the partial Fourier sums of a smooth periodic function $f$ converge uniformly to $f$\, but the situation is a lot more subtle for e.g. continuous functions. However\, in 1966 Carleson proved that they do converge at almost all points for $L^2$ periodic functions on the real line. Carleson’s proof is famously hard to read\, and there are no known easy proofs of this theorem. As a large collaborative project\, we have formalized in Lean a generalization of Carleson’s theorem in the setting of doubling metric measure spaces (proven in 2023)\, and Carleson’s original result as a corollary. In this talk I will give an overview of the project\, with a focus on how the collaboration was organized. \n 
URL:https://cmsa.fas.harvard.edu/event/newtech_102225/
LOCATION:Virtual
CATEGORIES:New Technologies in Mathematics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-NTM-Seminar-10.22.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251022T120000
DTEND;TZID=America/New_York:20251022T130000
DTSTAMP:20260520T115107
CREATED:20251002T141005Z
LAST-MODIFIED:20251003T205211Z
UID:10003804-1761134400-1761138000@cmsa.fas.harvard.edu
SUMMARY:CMSA Q&A Seminar: Thomas Grimm
DESCRIPTION:CMSA Q&A Seminar \nSpeaker: Thomas Grimm\, Utrecht & CMSA \nTopic: What is o-minimality and what is it good for?
URL:https://cmsa.fas.harvard.edu/event/cmsaqa_102225/
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-10.22.2025-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251020T150000
DTEND;TZID=America/New_York:20251020T160000
DTSTAMP:20260520T115107
CREATED:20250924T183004Z
LAST-MODIFIED:20251016T160042Z
UID:10003797-1760972400-1760976000@cmsa.fas.harvard.edu
SUMMARY:Categorical 't Hooft expansion and Chiral Algebras
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Adrian López-Raven\, Perimeter \nTitle: Categorical ‘t Hooft expansion and Chiral Algebras \nAbstract: In https://arxiv.org/abs/2411.00760\, we show how holographic dual B-model backgrounds can be systematically derived from the ‘t Hooft expansion of specific families of chiral algebras. The resulting holographic dual backgrounds are typically non-commutative and appear to be novel. In this talk I’ll review certain aspects of our construction. In particular\, we’ll review how to build a category of D-branes for the String Theory dual\, starting from the planar limit of the chiral algebra. Given its generality\, I’ll emphasize the potential utility of the construction in the study of weak coupling holography for general theories with a large N limit. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/qft_102025/
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-10.20.25-scaled.png
END:VEVENT
END:VCALENDAR