Tuesday 14 May 2024, 16:00 - 17:00 in HG00.086
Alexander Ivanov (Bochum)
Deligne-Lusztig theory and its \(p\)-adic analogue
The classical Deligne-Lusztig theory provides a mighty geometric tool to construct representations of finite groups of Lie type (like, for example, \(\mathrm{GL}_2(\mathbb{F}_q))\). In the first part of the talk I will review some basics of this theory and discuss an example. Then I will discuss an analogous geometric construction for \(p\)-adic groups, with a particular focus on the geometric properties of the resulting objects.