36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

"Fixed points, Reidemeister numbers, and cohomology"

Santos Rego, Yuri

Fixed-point results are of paramount importance in multiple areas, and Reidemeister numbers of group automorphisms turn out to be particularly useful to establish the existence (or not) of fixed points of related maps. In this talk I will explain how group cohomology comes into play in those investigations. As an application, we shall obtain qualitative information about automorphisms of many F-like groups, that is, groups of homeomorphisms resembling Richard Thompson's famous group F. Based on joint work with Paula M. Lins de Araujo (University of Lincoln, UK) and Altair S. de Oliveira-Tosti (UENP, Brazil).

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