NCTS(South)/ NCKU Math Colloquium | |
| DATE | 2013-08-05¡@14:00-15:00 |
| PLACE | R204, 2F, NCTS, NCKU |
| SPEAKER | Professor Siye Wu ¡]University of Hong Kong »´ä¤j¾Ç¡^ |
| TITLE | Higgs Bundles over a Non-Orientable Manifold |
| ABSTRACT | We study Hitchin's equations and Higgs bundles over a non-orientable manifold whose oriented cover is compact K\"ahler. Using the involution induced by the deck transformation, we show that the moduli space of Higgs bundles is Langrangian/complex with respect to the hyper-K\"ahler structure on Hitchin's moduli space associated to the oriented cover. We then establish a Donaldson-Corlette type correspondence and relate Hitchin's moduli space to representation varieties. This is a joint work with N.-K.~Ho and G.~Wilkin. |