Bounded cohomology of transformation groups

Datum

23.05.2019

Zeit

13:30 - 14:30

Sprecher

Michal Marcinkowski

Zugehörigkeit

Universität Wroclaw

Serie

TUD Mathematik Algebra, Geometrie und Kombinatorik

Sprache

en

Hauptthema

Mathematik

Host

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

Beschreibung

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.

Letztmalig verändert: 16.05.2019, 15:45:43