** Geometric and asymptotic group theory II **

Geometry and Analysis of free groups

Lecture by Goulnara Arzhantseva

and

Problem session by Damian Osajda

Dienstag, 10:00--12:00, Raum D 1.07 UZA 4

The purpose of this course is to focus on free groups, their subgroups, and automorphisms in order to introduce students to advanced topics of geometric and analytic group theory such as curvature, randomness, and group C*-algebras. In particular, we will discuss the following fundamental concepts:

- Random subgroups and the technique of Stallings foldings;

- C*-exactness and C*-simplicity / (non)-amenability (introduced by John von Neumann);

- Growth and random walks

The knowledge of Geometric and asymptotic group theory I (Winter semester course) is not required.

Course assessment: Presentation or test.

The first hour (10:00--10:45) is a lecture, and the second hour (11:00--11:45) is a problem session.

Lists of problems:
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