Spectral data for the Hitchin fibration

Spectral data for the Hitchin fibration

Thu, 10/05/2012
12:00 		Laura Schaposnik Junior Geometry and Topology Seminar Add to calendar L3
Spectral data for the Hitchin fibration
We shall dedicate the first half of the talk to introduce classical Higgs bundles and describe the fibres of the corresponding Hitchin fibration in terms of spectral data. Then, we shall define principal Higgs bundles and look at some examples. Finally, we consider the particular case of $ SL(2,R) $, $ U(p,p) $ and $ Sp(2p,2p) $ Higgs bundles and study their spectral data. Time permitting, we shall look at different applications of our new methods.