# Seminar on geometric group theory 2012

## Münster

September 24-27, 2012

Roman Sauer (Regensburg/Karlsruhe), Petra Schwer

The aim of the seminar is to understand the structure and theory
of the isometry groups of CAT(0)-spaces and their lattices. The papers on discrete subgroups and structure theory by Caprace and Monod provide the fundamental theory. Our background reference for CAT(0)-spaces is the book by Bridson and Haefliger. Further papers are taken as a reference in suitable cases and if needed.
The conference starts on Monday September 24 in Münster. The lecture room is SR 1C in the main building. (Directions)

The next bus stop is named 'Coesfelder Kreuz'. From the train station you may take the buses

- Number 4 direction "Alte Sternwarte"
- Number 5 direction "Nienberge"
- Numbers 11,12,22 direction "Gievenbeck"
- Number 13 direction "Technologiepark"
- Number 20 direction "Roxel"

Here is a map centered at the math building.

### Patricipants

### Schedule

All talks will take place in the lecture room SR 1C (first floor) in the main building.

#### Monday September 24th

8:30--9:00 Registration (at the office of Ms Beier and Ms Loew, Room 306)9:00-10:30 CAT(0) geometry I. (Francesca)

Coffee break

11:00-12:30 CAT(0) geometry II. (Werner)

Lunch

14:30-16:00 Lattices in products of trees. (Malte)

Coffee break

16:30-18:00 Symmetric spaces. (Markus)

#### Tuesday September 25th

9:00-10:30 Euclidean buildings. (Daniel)Coffee break

11:00-12:30 Characterizations of Euclidean buildings and symmetric spaces. (Matthias)

Lunch

14:30-16:00 Non-classical examples of CAT(0) spaces (Lukas)

Coffee break

16:30-18:00 Decomposing CAT(0) spaces I. (Stefan)

joint dinner

#### Wednesday September 26th

9:00-10:30 Decomposing CAT(0) spaces II. (Petra)Coffee break

11:00-12:30 Borel density. (Matthew)

Lunch

14:30-16:00 Arithmeticity (Roman)