Time: March 20, 2025 at 15:00 (GMT +07)
Lecturer: Eva Viehmann (Muenster)
Title: Affine Deligne-Lusztig varieties
Abstract: Affine Deligne-Lusztig varieties (ADLVs) have first been introduced by Rapoport and are an analog in affine Grassmannians or affine flag varieties of classical Deligne-Lusztig varieties, a central tool to study representations of finite groups of Lie type. ADLVs play an important role to describe the reduction of Shimura varieties or of moduli spaces of shtukas. In my lecture I will report on what is known about the geometry of ADLVs and on applications to Shimura varieties.