• Abelian gauge fields and duality

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Dan Freed, Harvard Math & CMSA Title: Abelian gauge fields and duality Abstract: Motivated by the new paper arXiv:2603.19161, I will give a general talk about abelian gauge fields, including duality. I will start with classical Maxwell theory, then discuss various “finite” examples, the typical p-form abelian […]

  • Interpolation for points in $\mathbb{P}^N, N\geq 2$

    CMSA Room G02 20 Garden Street, Cambridge, MA

    Algebra Seminar Speaker: Dipendranath Mahato, Tulane University Title: Interpolation for points in $\mathbb{P}^N, N\geq 2$ Abstract: Interpolation problems study hypersurfaces in projective space passing through prescribed sets of points. Classically, one asks how many independent conditions a collection of points imposes on hypersurfaces of a fixed degree, a question that can be studied algebraically via […]

  • Higgs and Coulomb branches: Geometry and Representation Theory

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

    Member Seminar Speaker: Vasily Krylov Title: Higgs and Coulomb branches: Geometry and Representation Theory Abstract: Higgs and Coulomb branches of quiver gauge theories form two important families of Poisson varieties that are expected to be exchanged under so-called 3D mirror symmetry. Quantized Coulomb branches are associative algebras deforming the algebras of functions on Coulomb branches. They are […]

  • Zigzags, adjoints, and bordisms

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Lorenzo Riva (Harvard CMSA) Title: Zigzags, adjoints, and bordisms Abstract: We will learn how to freely add adjoints to a category using a combinatorial procedure which involves drawing zigzags of squares. Peculiarly, we can use these to draw some bordisms. This is joint work with Martina Rovelli.

  • Introduction to A-infty categories

    Science Center 507 1 Oxford Street, Cambridge

    Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Ahsan Khan, Harvard CMSA Title: Introduction to A-infty categories Abstract: I will give a pedagogical account of A-infty categories and the various places they show up in mathematical physics.  

  • Boundedness for K-trivial varieties with fibrations

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

    Differential Geometry and Physics Seminar Speaker: François Greer, MSU Title: Boundedness for K-trivial varieties with fibrations Abstract: According to the Beauville-Bogomolov decomposition theorem, any smooth K-trivial variety admits a finite cover by a product of (1) abelian varieties, (2) strict Calabi-Yau varieties, and (3) irreducible holomorphic symplectic varieties (IHSV). In a fixed dimension, all abelian varieties […]

  • The Intermingling of Symmetry and Parametrization in Matrix Product States

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

    Member Seminar Speaker: Daniel Spiegel Title: The Intermingling of Symmetry and Parametrization in Matrix Product States Abstract: In the study of quantum spin systems, it is by now well-known that interesting phases of quantum matter can arise from gapped ground states when the system is invariant under a symmetry group G or when the system varies continuously […]

  • Compression Is All You Need: Modeling Mathematics

    Virtual

    Freedman Seminar Speaker: Mike Freedman, Harvard CMSA Title: Compression Is All You Need: Modeling Mathematics Abstract: The talk will exposit a recent eponymous arXiv posting with coauthors Vitaly Aksenov, Eve Bodnia, and Mike Mulligan. The approach is to think like a physicist and model a seemingly complex bit of reality: mathematics, by a simple toy […]