Broadly speaking, geometric
group theory deals with interaction of algebraic and geometric
properties of groups. In this class I will cover basics of
hyperbolic
groups and Rips theory of group actions on trees with applications in
the geometric group theory. The prerequisites for this class are basic
group theory and algebraic topology (fundamental groups and covering
spaces). Knowledge of differential topology (MAT-239) and differential
geometry (MAT-240) will be useful but not required.
There will be no homework and no tests; however, I will record the
attendence.
There is no textbook. Feel free to download:
1.
M. Kapovich "Lectures on Geometric Group Theory"
2.
J.Vaisala "Lectures on Gromov-Hyperbolic Spaces"