Title of the course: Amenable Groups
Instructor: Prof. Ayşe Berkman, MSc. Barış Bektaş
Dates: 20-26 August 2018
Prerequisites: A course on group theory (or abstract algebra including group theory) is necessary. A course on topology will be very useful.
Level: Graduate, advanced undergraduate
Abstract: Measures and means on groups. Some properties of amenable groups. Examples and non-examples. Relation to the Banach-Tarski Paradox. Tarski numbers of groups.
We strongly recommend for the students who are interested in geometric group theory to take Growth of Groups, Self-Similar Groups and Groups Generated by Automata, and Amenable Groups together. Even though we will try to make the three courses independent, following all three will certainly enhance understanding of the material.
Language: TR, EN