Abstract (EN):
Higgs bundles and non-abelian Hodge theory provide holomorphic methods with which to study the moduli spaces of surface group representations in a reductive Lie group G. In this paper we survey the case in which G is the isometry group of a classical Hermitian symmetric space of non-compact type. Using Morse theory on the moduli spaces of Higgs bundles, we compute the number of connected components of the moduli space of representations with maximal Toledo invariant
Language:
English
Type (Professor's evaluation):
Scientific
Contact:
bradlow@math.uiuc.edu; oscar.garcia-prada@uam.es; pbgothen@fc.up.pt
No. of pages:
29