Today

  • 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 […]

  • 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 […]

  • 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 […]

  • 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 […]

  • Featured

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

    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 […]

  • Featured

    Geometry Meets Physics: Finiteness, Tameness, and Complexity

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

    Geometry Meets Physics: Finiteness, Tameness, and Complexity Dates: November 12–14, 2025 Location: CMSA G10, 20 Garden Street, Cambridge MA 02138 (note: this event is in-person only) Finiteness is a fundamental property in consistent physical theories. From the earliest days of quantum field theory and string theory, the drive to eliminate unphysical infinities has been a […]

  • The Moyal bracket and the BV cohomology of the spinning particle

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Ezra Getzler, Northwestern Title: The Moyal bracket and the BV cohomology of the spinning particle Abstract: 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 […]

  • Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons

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

    Differential Geometry and Physics Seminar Speaker: Dylan Galt, Harvard Title: Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons Abstract: 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 […]

  • RCD structures on singular Kahler varieties

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

    Differential Geometry and Physics Seminar Speaker: Jian Song, Rutgers University Title: RCD structures on singular Kahler varieties Abstract: 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 […]

  • Affine Springer fibers and representations

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

    Algebra Seminar Speaker: Roman Bezrukavnikov, MIT Title: Affine Springer fibers and representations Abstract: 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 […]

  • Rigidity, expansion and polytopes

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

    Colloquium Speaker: Eran Nevo (Hebrew University of Jerusalem) Title: Rigidity, expansion and polytopes Abstract: 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 […]

  • de Rham Theory in Derived Differential Geometry

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Grigorii Taroian, U Toronto Title: de Rham Theory in Derived Differential Geometry Abstract: In the talk, I will describe recent progress in building a version of de Rham theory for derived manifolds and derived differentiable stacks. Derived differential geometry is a nascent field applying techniques from derived algebraic […]