Hermitian G-Higgs bundles exceptionally flavoured

Hermitian G-Higgs bundles exceptionally flavoured

Thu, 04/12/2008
12:00 		Roberto Rubio (ICMAT Spain) Junior Geometry and Topology Seminar Add to calendar SR1
Hermitian G-Higgs bundles exceptionally flavoured
We introduce the notion of $ G $-Higgs bundle from studying the representations of the fundamental group of a closed connected oriented surface $ X $ in a Lie group $ G $. If $ G $ turns to be the isometry group of a Hermitian symmetric space, much more can be said about the moduli space of $ G $-Higgs bundles, but this also implies dealing with exceptional cases. We will try to face all these subjects intuitively and historically, when possible!