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  • Interaction of Statistics and Geometry: A New Landscape for Data Science

    Featured
    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Colloquium Speaker: Zhigang Yao (National University of Singapore) Title: Interaction of Statistics and Geometry: A New Landscape for Data Science Abstract:  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 […]

  • Differentials and Singularities

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Algebra Seminar Speaker: Dawei Chen, Boston College Title: Differentials and Singularities Abstract: 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 […]

  • Tropical-Topological(Tropological) Sigma Models

    Virtual

    Differential Geometry and Physics Seminar Speaker: Andrés Franco Valiente, UC Berkeley Title: Tropical-Topological (Tropological) Sigma Models Abstract: 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 […]

  • Optimal learning protocols via statistical physics and control theory

    Common Room, CMSA 20 Garden Street, Cambridge, MA, United States

    Member Seminar Speaker: Francesco Mori, CMSA Title: Optimal learning protocols via statistical physics and control theory Abstract: 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 […]

  • Geometric Simplicity in Quantum Field Theory and Gravity

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Colloquium Speaker: Thomas Grimm, Utrecht University Title: Geometric Simplicity in Quantum Field Theory and Gravity Abstract: 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 […]

  • Coulomb branches and KLRW algebras

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker:Vasily Krylov, CMSA Title: Coulomb branches and KLRW algebras Abstract: 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. […]

  • Asymptotic Theory of Attention: In-Context Learning and Sparse Token Detection

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Colloquium Speaker: Yue M. Lu, Harvard University Title: Asymptotic Theory of Attention: In-Context Learning and Sparse Token Detection Abstract: 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 […]

  • Homological mirror symmetry for Coulomb branches

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker: Sebastian Haney, Harvard Title: Homological mirror symmetry for Coulomb branches Abstract: 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 […]

  • Machine learning tools for mathematical discovery

    Virtual

    New Technologies in Mathematics Seminar Speaker: Adam Zsolt Wagner, Google DeepMind Title: Machine learning tools for mathematical discovery Abstract: 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 […]

  • Millennium Prize Problems Lecture – Madhu Sudan: P vs NP Problem

    Featured
    Harvard Science Center Hall D 1 Oxford Street, Cambridge, MA, United States

    https://youtu.be/yeFaGFehc44 Pamphlet (pdf) Slides (pdf) Date: December 3, 2025 Time: 5:00–6:00 pm Location: Harvard Science Center Hall D, 1 Oxford St., Cambridge MA Speaker: Madhu Sudan, Harvard University Title: The P vs. NP problem: An Existential Question for Mathematics At the beginning of the twentieth century, in response to questions raised by Hilbert, illustrious mathematicians […]

  • Towards a Dolbeault AGT correspondence

    CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

    Differential Geometry and Physics Seminar Speaker: Surya Raghavendran, Yale Title: Towards a Dolbeault AGT correspondence Abstract: 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 […]

  • A combinatorial formula for interpolation Macdonald polynomials

    Common Room, CMSA 20 Garden Street, Cambridge, MA, United States

    Member Seminar Speaker: Houcine Ben Dali, Harvard CMSA Title: A combinatorial formula for interpolation Macdonald polynomials Abstract: 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 […]