Title: The Quantum DELL System Abstract: We propose quantum Hamiltonians of the double elliptic many-body integrable system (DELL) and study its spectrum. These Hamiltonians are certain elliptic functions of coordinates and momenta. Our results provide quantization of the classical DELL system which … 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
Physically Inspired Mathematics Seminar Website
Integrable lattice models and symmetric functions, part 1 Abstract: I will talk about how integrable lattice models from statistical mechanics unexpectedly became about the most powerful tool to study symmetric functions from representation theory and combinatorics of affine flag varieties. The talk … Read more
Physically Inspired Mathematics Seminar Website
Integrable lattice models and symmetric functions: Part 2 Physically Inspired Mathematics Seminar Website
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
Physically Inspired Mathematics Seminar Website
Physically Inspired Mathematics Seminar Website
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
Physically Inspired Mathematics Seminar
