** "Geometry and Analysis on Groups" Research Seminar **

**Time:** 2014.11.25, 15:00--17:00

**Location:** Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock

**Title:** "Conjugacy separability in graph products of groups"

**Speaker:**
Michal Ferov (University of Southampton)

**Abstract:**
We say that group is conjugacy separable if every tuple of non-conjugate elements can be homomorphically mapped onto a finite group such that their images are not conjugate. It is known that direct and free products of conjugacy separable groups are again conjugacy separable, but in general conjugacy separability does not behave well under group constructions and no global criteria are known. In the main talk I will sketch a proof that conjugacy separability (and its generalisations) is stable under graph products, a group-theoretic construction that naturally generalises free and direct products.
In the introductory talk I will describe basic properties of pro-C topologies on groups and graph products of groups.