Colloquium Speaker: Mikhail Khovanov, Johns Hopkins University Title: Facets of link homology Abstract: We will review some link homology theories of algebraic origin and their connections to representation theory and geometry.
Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Oswaldo Vázquez (Harvard) Title: A Mumford form on infinite Grassmannians Abstract: The Polyakov measure in bosonic string theory can be expressed in terms of the Mumford form, which is a trivializing section of a product of determinant line bundles over the moduli space of genus g curves. We […]
Algebra Seminar Speaker: Dale Cutkosky, University of Missouri Title: Multiplicities of graded families of ideals on Noetherian local rings Abstract: Let $R$ be an arbitrary $d$-dimensional Noetherian local ring with maximal ideal $m_R$. In this talk, we give a generalization of the multiplicity $e(I)$ of an $m_R$-primary ideal $I$ of $R$ to a multiplicity $e(\mathcal […]
Member Seminar Speaker: Sunghyuk Park, CMSA Title: Quantum topology from dynamics Abstract: Dynamics studies the long-term behavior of systems that evolve over time, such as the famous Lorenz system. Quantum topology, by contrast, studies knots and low-dimensional manifolds through invariants that are usually constructed using representation-theoretic tools. In this talk, I will explain how quantum invariants of […]
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 […]
Swampland and our Universe Dates: April 15–16, 2026 Location: Harvard CMSA, Room G10, 20 Garden Street, Cambridge MA The swampland program has inspired a range of new ideas in both cosmology and neutrino physics. This workshop brings together experts in neutrino physics, dark energy, dark matter, early-universe cosmology, and string theory to share insights on […]
https://youtu.be/DtaFyE9BcXw Date: April 15, 2026 Time: 5:00–6:00 pm Location: Harvard Science Center Hall C, 1 Oxford St., Cambridge MA Speaker: Peter Sarnak, Institute for Advanced Study Title: The Riemann Hypothesis Abstract: After reviewing the hypothesis as put forth by Riemann we discuss its generalizations and analogues. We highlight a few of their implications and workarounds, […]
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 […]
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 […]
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.
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.
https://youtu.be/91-jAKfUpRY CMSA/Tsinghua Math-Science Literature Lecture Date: April 22, 2026 Time: 9:00 - 10:30 am ET Location: via Zoom Webinar Speaker: Nicolai Reshetikhin, Yau Mathematical Sciences Center, Tsinghua University Title: Asymptotic representation theory Abstract: Loosely speaking asymptotic representation theory studies representations of “large” groups or algebras. One of the first results in this direction is the study […]