SIMIS Seminar on Derived and Non-commutative Geometry: Geometric Representation Theory, Canonical Bases, and Explicit Character Formulas for Affine Lie Algebras

Speaker: Galyna Dobrovolska (Ariel University)
Time & Date: Monday, March 17, 16-19 with break for tea
Location: Room 1110

Abstract: I will begin with a tour of classical ideas in geometric representation theory including Kazhdan-Lusztig polynomials and Beilinson-Bernstein localization. Then I will delve into a logical continuation of these ideas in the work of Bezrukavnikov on exotic t-structures. Finally I will explain an application of these ideas to finding explicit character formulas for affine Lie algebras in our joint work with Andrei Ionov and Vasily Krylov.