The Higgs bundle moduli space and L^2cohomology

Date:
06.06.2013
 Speaker:

Time:
14:00 Uhr

I will review some known results and several open questions concerning the L^2 cohomology of various noncompact moduli spaces carrying a hyperkähler metric. Particular attention will be given to the moduli space M of Higgs bundles over a Riemann surface, which arises as the space of solutions of a certain system of nonlinear PDEs, called selfduality equations. Although many aspects of M as a hyperkähler manifold are by now wellestablished, it is still an open problem to describe the geometry of this noncompact manifold near its ends. In this talk, I shall present some preliminary results in that direction.
(Joint work with Rafe Mazzeo, Hartmut Weiß, and Frederik Witt).

Place:
Raum 1C04
im Allianzgebäude (05.20)