# Research Seminar: The wonderful compactification and applications

Time: 14:15-16:00
Room: WSC-N-U-3.05

In the current semester, we will study the wonderful compactification and some of its applications. The most important example of wonderful compactification is a smooth projective compactification of a semi-simple linear algebraic group of adjoint type (e.g. $PGL_n$). We will study these compactifications from different points of view (and in a slightly more general setting), and in the last few talks of the seminar will look at an application, due to Bezrukavnikov and Kazhdan, to the representation theory of $p$-adic groups.

Program: pdf (updated January 16, 2013)

## Talks

Termin Vortragender Titel
18.10.2012 Ulrich Görtz Overview (and distribution of talks)
25.10.2012 Christian Kappen Representation theory of reductive groups
8.11.2012 Felix Grelak Preliminaries
15.11.2012 Oliver Bräunling Construction of the compactification
22.11.2012 Ulrich Terstiege Properties of the compactification
29.11.2012 Andre Chatzistamatiou Positive characteristic, line bundles
6.12.2012 Haifeng Wu Frobenius splitting
13.12.2012 Ishai Dan-Cohen An example: Counting quadrics
20.12.2012 Viet-Cuong Do Reductive embeddings
10.1.2013 No talk
17.1.2013 Fabian Sander Geometry of second adjointness I
24.1.2013 Jochen Heinloth Geometry of second adjointness II