Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Topology of diffeomorphism groups

Presented by Jarek Kedra, University of Aberdeen

14 May 2007 16:15 in CM221

I will present an overview of results on the topology of groups
of diffeomorphisms of symplectic manifolds. I will talk about the
various methods and sketch the proofs of at least two results:
1. The cohomology ring of the group of symplectic diffeomorphisms
of a closed symplectic manifold is infinitely generated in many cases.
2. A Reznikov's theorem saying that the action
of SU(n+1) on CP^n induces an injection on rational homology.
Both proofs uses basic algebraic topology and a little bit of
symplectic geometry (as a black box).

Contact anna.felikson@durham.ac.uk for more information