Speaker: Eva Viehmann (Muenster)
Time: March 20, 2025 at 15:00 (GMT +07)
Venue: Room 301, Building A5, Institute of Mathematics, VAST
Online participation: Join Zoom Meeting
https://us06web.zoom.us/j/82593112883?pwd=mHKEOY6K68tzbQEr0RpVVzl4BnrcaA.1
Meeting ID: 825 9311 2883
Passcode: 123456
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.
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