Amenable topological groups

Date

Feb 3, 2016

Time

5:00 PM - 6:00 PM

Speaker

Jun.-Prof. Dr. F. Martin Schneider

Affiliation

TU Dresden, Institut für Algebra

Series

TUD Dresdner Mathematisches Seminar

Language

en

Main Topic

Mathematik

Other Topics

Mathematik

Host

Prof. Dr. U. Baumann

Description

Having its roots in the beginnings of modern measure theory, the concept of amenability has become of great importance to infinite group theory and topological dynamics. The study of amenable groups began in 1929 with John von Neumann, who introduced them in order to explain why the Banach-Tarski paradox occurs only for dimension greater than two. Since then amenable groups have proved interesting to several areas of mathematics, including operator theory and ergodic theory. Recent developments have revealed a very fruitful connection between structural Ramsey theory and topological dynamics, which translates combinatorial properties of structures into properties of topological automorphism groups. Amenability and extreme amenability play the central role in this correspondence. In the talk I will give an introduction to amenability for discrete and topological groups, discuss some examples and related problems, and sketch the connection with Ramsey theory mentioned above.

Links

• Dresdner Mathematisches Seminar

Last modified: Jan 27, 2016, 12:24:20 PM