Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 2017.11.07, 15:15–17:00
Location: Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "The smallest quotients of \(\mathrm{Out}(F_n)\) and mapping class groups."
Speaker: Dawid Kielak (Universität Bielefeld)
Abstract: We will see how the classification of finite simple groups and some representation theory can be used to determine the smallest quotients of \(\mathrm{Out}(F_n)\) and mapping class groups. In both cases the smallest non-abelian quotients are obtained by first passing to the automorphism of the abelianisation of, respectively, free and surface groups, and then taking the smallest quotient of the relevant algebraic group.