# Dana Bartošová: Freedom of action in combinatorial terms

Mathematical logic seminar – Mar 21 2017
Time:     3:30pm – 4:30 pm

Room:     Wean Hall 8220

Speaker:         Dana Bartošová
Department of Mathematical Sciences
CMU

Title:     Freedom of action in combinatorial terms

Abstract:

A group acts freely on a compact Hausdorff space if all of its non-identity elements act without fixed points. By Veech’s theorem, every locally compact topological group admits a free action and the question arises to which other groups this property can be extended. On the other hand, elements of extremely amenable groups act with fixed points under any action but the opposite implication does not hold. We show a combinatorial reformulation of this property and ask how far it is from extreme amenability.