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Explore a mathematical seminar talk that delves into the geometrization of Hecke algebras and their role in representation theory. Learn about the classical introduction of affine Hecke algebras in studying p-adic group representations, and discover how Kazhdan and Lusztig's work using equivariant K-theory of the Steinberg variety led to the classification of irreducible representations. Examine Bezrukavnikov's categorification of this realization and understand how his equivalences connect to the broader context of the geometric local Langlands conjecture. The presentation, delivered by Nikolay Grantcharov, offers a deep dive into advanced mathematical concepts at the intersection of algebra, geometry, and representation theory.
