From Affine Hecke Category to Invariant Distributions

Watch this mathematics conference talk exploring the relationship between affine Hecke categories and invariant distributions, presented by MIT professor Roman Bezrukavnikov at the Arithmetic Quantum Field Theory Conference. Delve into advanced mathematical concepts including the cocenter of affine Hecke categories, coherent sheaves on commuting pairs in Langlands dual groups, and unipotent invariant distributions on p-adic groups. Learn about collaborative research findings on harmonic analysis and endoscopic properties of unipotent L-packets, as well as geometric realizations of Lusztig's asymptotic affine Hecke algebra J. Examine proposed conjectures extending these concepts to depth zero representations, incorporating insights from multiple joint research efforts with Ciubotaru, Kazhdan, Varshavsky, Karpov, and Krylov.