Date

Re­search sem­in­ar "Geo­met­ric and Har­mon­ic Ana­lys­is": Jacques Aud­ibert (MPI Leipzig), Za­r­iski-clos­ures of Vin­berg rep­res­ent­a­tions

Location: D2.314

Abstract: In this talk we will discuss Coxeter groups and their "Vinberg representations". These are discrete and faithful representations that are of special geometric significance. As we will show, the Zariski-closure of such representations is very restricted. This allows us to construct new examples of Zariski-dense subgroups of SL(n,Z). In particular, we will prove that, for all n at least 3, SL(n,Z) contains a Zariski-dense subgroup isomorphic to the fundamental group of a closed surface. This is joint work with Sami Douba, Gye-Seon Lee and Ludovic Marquis.

If you are interested in participating online please contact  Tobias Weich or Benjamin Delarue in order to receive the login details.