Hauptseminar Geometrie

Dr. Peter Dalakov, Bulgarian Academy of Sciences, Sofia

Let G be a simple (or possibly, reductive) complex Lie group. The moduli space of K_X-valued G-Higgs bundles on a (hyperbolic) Riemann surface X carries extremely rich geometry. It is, in particular, an algebraic completely integrable hamiltonian system. I will review briefly Hitchin's construction of a section (using results of Kostant). Then I will discuss the behaviour of the section under the hamiltonian flow. If time permits, I will indicate some relations to the geometry of uniformising Higgs bundles, opers, and the non-abelian Hodge theory.

Mittwoch, den 11. Februar 2015 um 13:30 Uhr, in INF288, HS5 Mittwoch, den 11. Februar 2015 at 13:30, in INF288, HS5