Peng Shan: A geometric realization of affine hecke algebras - Lecture 1 скачать в хорошем качестве

Peng Shan: A geometric realization of affine hecke algebras - Lecture 1

The goal of these lectures is to explain a geometric realization of affine Hecke algebras using equivariant K-theory of Steinberg variety discovered by Kazhdan-Lusztig and Ginzburg. We will start by basic properties of the Springer resolution and Steinberg varieties as well as a brief introduction of equivariant K-theory. Then we will explain the geometric realisation of affine Hecke algebras. Finally, we will explain how this was used to obtain the Deligne-Langlands classification of irreducible modules for affine Hecke algebras. Recording during the thematic meeting: «Galois representations and automorphic forms» the January 26, 2026 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematics Subject Classification - Multi-criteria search by author, title, tags, mathematical area