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  • 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 […]

  • 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 […]

  • Geometry and Quantum Theory Seminar

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speakers: (1) Elliott Gesteau, CMSA (60 min) and  (2) Sanjay Raman, Harvard (30 min) (1) Title: Holography for closed universes Abstract: 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 […]

  • 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 […]

  • 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 […]

  • Skein remain the same

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

    Member Seminar Speaker: Sunghyuk Park, CMSA Title: Skein remain the same Abstract: 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 […]

  • A fully local extension of Chern-Simons theory

    Science Center 507 1 Oxford Street, Cambridge

    Geometry and Quantum Theory Seminar Speaker: Dan Freed Title: A fully local extension of Chern-Simons theory Abstract: 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 […]

  • Discovery of unstable singularity with machine precision

    CMSA 20 Garden Street Cambridge, Massachusetts 02138 United States

    New Technologies in Mathematics Seminar Speaker: Yongji Wang, NYU Courant Institute of Mathematical Sciences Title: Discovery of unstable singularity with machine precision Abstract: 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 […]

  • 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 […]

  • Classification of 2D Stabilizer States

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

    Member Seminar Speaker: Bowen Yang Title: Classification of 2D Stabilizer States Abstract: 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 […]

  • 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 […]