DATE2018-01-05 14:10-15:00


SPEAKER何南國 教授(清華大學數學系

TITLEHitchin's Equations on a Nonorientable Manifold

ABSTRACT We define and study Hitchin's moduli space over a compact non-orientable Riemannian manifold. We proved that this moduli space has a natural Kahler structure and we give a condition for points being smooth in the moduli space. In particular, when the nonorientable manifold is two dimensional, we show that irreducibility is not enough to promise smoothness. This is a joint work with Graeme Wilkin and Siye Wu.