Topology of representation varieties of surface groups

Series
School of Mathematics Colloquium
Time
Thursday, April 21, 2011 - 11:01am for 1 hour (actually 50 minutes)
Location
Skiles 269
Speaker
Richard Wentworth – University of Maryland – raw@math.umd.edu
Organizer
Howie Weiss
This will be a survey talk on some aspects of the geometry and topology of moduli spaces of representations of surface groups into Lie groups. I will discuss recent generalizations of the techniques of Atiyah and Bott on equivariant Morse theory. These extend results on stable bundles to Higgs bundles and associated moduli spaces, which correspond to representation varieties into noncompact Lie groups