Galois representations and automorphic forms - Thematic month week 1 / Représentations galoisiennes et formes automorphes - Mois thématique sem. 1

Collection Galois representations and automorphic forms - Thematic month week 1 / Représentations galoisiennes et formes automorphes - Mois thématique sem. 1

Organizer(s) Beuzart-Plessis, Raphaël ; Disegni, Daniel ; Dudas, Olivier ; NizioЕ‚, WiesЕ‚awa ; Rodrigues Jacinto, Joaquin

Date(s) 26/01/2026 - 30/01/2026

linked URL https://conferences.cirm-math.fr/3528.html

00:00:00 / 00:00:00

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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.

Information about the video

Date of recording 26/01/2026
Date of publication 05/02/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20445703
Cite this video Shan, Peng (26/01/2026). A geometric realization of affine hecke algebras - lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20445703
URL https://dx.doi.org/10.24350/CIRM.V.20445703

Domain(s)

Representation Theory

Bibliography

KAZHDAN, David et LUSZTIG, George. Equivariant K-theory and representations of Hecke algebras. II. Inventiones mathematicae, 1985, vol. 80, no 2, p. 209-231. - https://doi.org/10.1007/BF01388604
KAZHDAN, David et LUSZTIG, George. Proof of the Deligne-Langlands conjecture for Hecke algebras. Inventiones mathematicae, 1987, vol. 87, no 1, p. 153-215. - https://doi.org/10.1007/BF01389157
CHRISS, Neil et GINZBURG, Victor. Representation theory and complex geometry. Boston : Birkhäuser, 1997. - https://doi.org/10.1007/978-0-8176-4938-8

MSC codes

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