** "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.