Bounded cohomology of transformation groups

Date

May 23, 2019

Time

1:30 PM - 2:30 PM

Speaker

Michal Marcinkowski

Affiliation

Universität Wroclaw

Series

TUD Mathematik Algebra, Geometrie und Kombinatorik

Language

en

Main Topic

Mathematik

Host

Prof. Dr. M. Bodirsky / Prof. Dr. A. Thom

Description

Let M be a finite-volume Riemannian manifold and let \mu be the measure induced by the volume form. Denote by G_M the group of all \mu-preserving homeomorphisms of M isotopic to the identity. We show how to construct classes in the bounded cohomology of G_M. As an application we show that, under certain conditions on \pi_1(M), the third bounded cohomology of G_M (and some of its subgroups) is highly non-trivial. This is a joint work with Michael Brandenbursky.

Last modified: May 16, 2019, 3:45:43 PM