7–11 juil. 2025
AUBIERE
Fuseau horaire Europe/Paris

On modular representations of affine Lie algebras

10 juil. 2025, 15:30
1h 20m
AUBIERE

AUBIERE

Orateur

Gurbir Dhillon

Description

While the highest weight representation theory of affine Lie algebras in characteristic zero is by now fairly well understood, far less has been known in characteristic $p > 0$. We will report on some basic results (partly in progress) in this direction, e.g. the Harish-Chandra center of the enveloping algebra at all levels, the linkage principle, an analogue of the Kac-Kazhdan conjecture, and a local de Rham geometric Langlands correspondence. This is based on joint work with Ivan Losev.

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