Physically Inspired Mathematics Seminar – Prakash Belkale (UNC)
Phillips Hall 383Physically Inspired Mathematics Seminar
Physically Inspired Mathematics Seminar
Curved Fukaya algebras and the Dubrovin spectrum Abstract: The cohomology ring of a compact symplectic manifold can be deformed by counting pseudo-holomorphic spheres. Fukaya-Oh-Ohta-Ono developed an obstruction theory that explains when Lagrangian submanifolds yield modules over such deformation, based on … Read more
Title: Equivalence of Hecke Categories with Deeper Level Structures Abstract: Inspired by the theory of positive depth representations of p-adic reductive groups, we study Hecke categories associated to certain open compact subgroups smaller than the Iwahori subgroup. In this talk, … Read more
Physically Inspired Mathematics Seminar Website
Title: Perverse sheaves and resurgence. Abstract: Perverse sheaves provide a topological counterpart of regular holonomic D-modules, whose solutions are multivalued functions of certain restricted type. Now, much more general multivalued functions (on the complex plane C) have been studied in J. … Read more
Title: Hitchin WKB problem and Geometric P=W conjecture in rank 2 Abstract: After reviewing nonabelian Hodge and Riemann--Hilbert correspondences over curves, I state two closely related open problems concerning their large-scale behavior. I then propose an answer to these questions … Read more
Mode: In-Person Title: Analytic Langlands correspondence over C and R Abstract: I will review the analytic component of the geometric Langlands correspondence, developed recently in my joint work with E. Frenkel and D. Kazhdan (based on previous works by other … Read more