Chennai Mathematical Institute


Representations of surface groups and Higgs bundles
Prof. Oscar Garcia-Prada
CSIC, Madrid.


Let X be a compact Riemann surface and G be a connected semisimple Lie group. Using Higgs bundle theory, we count components of the moduli space of representations of the fundamental group of X in G, when G is the group of isometries of a non-compact Hermitian symmetric space.