ncku-talk2018-01-05

Colloquium

DATE 2018-01-05　16:10-17:00

PLACE 數學館3174教室

SPEAKER 何南國教授（清華大學數學系）

TITLE Hitchin'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.

Colloquium

DATE	2018-01-05　16:10-17:00

PLACE	數學館3174教室

SPEAKER	何南國教授（清華大學數學系）

TITLE	Hitchin'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.