Topological properties of the Hitchin fibration and Hodge theory of the character variety.
Vortrag von Dr. Luca Migliorini
Sprecher eingeladen von: Prof. Dr. Joseph Ayoub
Datum: 26.09.11 Zeit: 13.15 - 14.45 Raum: Y27H25
I will describe a remarkable correspondence between Hodge theoretic invariants of the character variety, parametrizing (GL_2-valued, twisted) representations of the fundamental group of a curve, and topological invariants of the Hitchin map, defined on the moduli space of rank 2 stable Higgs bundle. I will also briefly discuss some other example of this phenomenon and a more general conjectural statement.