Colloquia & Seminars

Title: Abelian gauge fields and duality

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 gauge field, and some exotic examples such as Ramond–Ramond fields and the B-field in superstring theory. I will then get to the new paper and, time permitting, will suggest a very general framework that covers all examples.  

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

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 homogeneous ideals and their Hilbert functions. In this talk, I will begin with the classical interpolation problem for reduced points and introduce the algebraic framework used to study it. I will then move to fat point schemes, where points are assigned multiplicities and hypersurfaces are required to vanish to higher order. In this setting, interpolation problems naturally lead to symbolic powers of ideals...

Title: Higgs and Coulomb branches: Geometry and Representation Theory

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 closely related to many important representation-theoretic structures, such as Yangians, quantum groups, and Hecke algebras. In this talk, I will discuss how 3D mirror symmetry, together with other insights motivated by physics, yields very explicit answers to purely representation-theoretic questions about representations of some of these quantum groups. Talk is based on joint works with Dinkins, Karpov, Klyuev, and Lance.

Title: Quantum Field Theory and Physical Mathematics

Quantum Field Theory and Physical Mathematics Seminar Speaker:      

Title: Joint Math/CMSA Geometry and Quantum Theory Seminar

Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Ahsan Khan, Harvard CMSA    

Title: Differential Geometry and Physics Seminar

Differential Geometry and Physics Seminar Speaker: François Greer, MSU

Title: Member Seminar

Member Seminar Speaker: tba

Title: Quantum Field Theory and Physical Mathematics

Quantum Field Theory and Physical Mathematics Seminar Speaker: Charles Young, University of Hertfordshire

Title: Colloquium

Colloquium Speaker: Ofer Feinerman, Weizmann Institute of Science    

Title: Joint Math/CMSA Geometry and Quantum Theory Seminar

Joint Math/CMSA Geometry and Quantum Theory Seminar Speaker: Lorenzo Riva, Harvard CMSA    

Title: Transcendental Epsilon Multiplicity via Divisor Volumes

Algebra Seminar Speaker: Sudipta Das, Tata Institute of Fundamental Research Title: Transcendental Epsilon Multiplicity via Divisor Volumes Abstract:  In this talk, our goal is to establish a structural bridge between asymptotic commutative algebra and transcendence theory to show that there exists an ideal in a Noetherian local ring whose epsilon multiplicity is transcendental. By equating the local-cohomological definition of epsilon multiplicity to a global divisorial volume integral on a projective bundle, we apply Baker's theorem on linear forms in logarithms to prove that the resulting arithmetic invariant falls strictly outside the field of algebraic numbers. This talk is based on collaborative work with Vinh Pham and Stephen Landsittel.  

Title: Member Seminar

Member Seminar Speaker: tba

Title: Quantum Field Theory and Physical Mathematics

Quantum Field Theory and Physical Mathematics Seminar Speaker: Surya Raghaven, Yale University

Title: Colloquium

Colloquium Speaker: Nikita Nekrasov, Simons Center  

Title: Quantum Field Theory and Physical Mathematics

Quantum Field Theory and Physical Mathematics Seminar