Hecke Categories and Their (Co)center

Explore the geometrization and categorification of Hecke algebras through this 41-minute mathematical lecture that delves into Hecke categories and their fundamental role in geometric representation theory. Examine the (co)center of affine Hecke categories and discover how these structures provide deeper insights into algebraic geometry and representation theory. Learn about a significant application involving the proof of a two-dimensional generalization of the Chevally restriction theorem for reductive algebraic groups, representing a major advancement in the field. Gain understanding of cutting-edge research in number theory and algebraic geometry through work conducted in collaboration with leading mathematicians including Fragile Dragos, Sam Gunningham, Quoc P. Ho, David Nadler, and Zhiwei Yun.