EXC 2044 - A2: Groups, model theory and sets

Basic data for this project

Description

Model theory and, more generally, mathematical logic as a whole has seen striking applicationsto arithmetic geometry, topological dynamics and group theory. Such applications as well asfundamental questions in geometric group theory, on the foundations of model theory and in settheory are at the focus of our work. The research in our group reaches from group theoretic questions to the model theory of groups andvalued fields as well as set theory. The study of automorphism groups of first order structures astopological groups, for examples, uses tools from descriptive set theory leading to pure set theoretic questions.