BIMSA >
BIMSA-YMSC Tsinghua Number Theory Seminar
Involutivity in the unramified local Langlands correspondence
Involutivity in the unramified local Langlands correspondence
Organizers
Hansheng Diao
, Heng Du
, Yueke Hu
, Bin Xu
, Yihang Zhu
Speaker
Emile Okada
Time
Monday, December 30, 2024 11:00 AM - 12:00 PM
Venue
Shuangqing-C654
Abstract
In 1995 Lusztig gave a local Langlands correspondence for unramified representations of inner-to-split adjoint groups combining many deep results from type theory and geometric representation theory. In this talk I will present an equivariant reformulation of his construction revealing interesting new structures, and with a view toward proving functoriality results in this framework. I will pay special attention to functoriality results for the contragredient and Aubert duality which are important involutions on the set irreducible smooth representations.