10 May 2012

12:00

Laura Schaposnik

Abstract

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.