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Algebra Seminar

Monday, March 25, 2019 - 3:15pm

Charlotte Chan

Princeton University


University of Pennsylvania

DRL 4N30

Affine Deligne--Lusztig varieties are closely related to the mod-preduction of Shimura varieties and therefore play a central role in the Langlands program. In this talk, we will construct a tower of affine Deligne--Lusztig varieties for GLn and its inner forms. We prove that its limit at infinite level is isomorphic to the semi-infinite Deligne--Lusztig variety of Lusztig and that its cohomology realizes certain cases of automorphic induction and Jacquet--Langlands.

This is joint work with Alexander Ivanov.