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Homology stability for symmetric diffeomorphisms and their mapping classes

Presented by: 
U Tillmann University of Oxford
Date: 
Tuesday 2nd April 2013 - 09:30 to 10:30
Venue: 
INI Seminar Room 1
Abstract: 
A central object of study in geometry and topology are diffeomorphism groups of compact manifolds. Nevertheless, these remain generally poorly understood objects. For surfaces homology stability has played a crucial role in advancing our understanding (Madsen-Weiss). We will present some homology stability results for 'symmetric' diffeomorphisms for manifolds of arbitrary dimension and put them into context.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons