Topology of representation varieties of surface groups

Series: 
School of Mathematics Colloquium
Thursday, April 21, 2011 - 11:01
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
University of Maryland
,  
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