Monodromy of the Hitchin fibration

David Baraglia
(University of Adelaide)
AaDAG seminar
Wednesday, 19 April, 2017, at 16:15-17:15, in Aud. D3 (1531-215)
Abstract:
The moduli space of Higgs bundles was shown by Hitchin to be an algebraically completely integrable system. In particular, the moduli space admits a fibration by abelian varieties, the famous Hitchin fibration. In this talk I will describe the monodromy of the SL(n) Hitchin fibration. The monodromy is given by a structure known as a skew-symmetric vanishing lattice, which is a skew-symmetric analogue of a root system. If time permits I will describe an application to counting components of character varieties.
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen