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Involutivity in the unramified local Langlands correspondence

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

Emile Okada

时间

2024年12月30日 11:00 至 12:00

地点

Shuangqing-C654

摘要

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.