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A Torelli Theorem for the moduli spaces of Hitchin pairs

Peter Gothen
(University of Porto, Portugal)
Wednesday, 24 February, 2010, at 16:15-17:15, in Aud. D3 (1531-215)

Let $X$ be a compact Riemann surface. Fix a holomorphic line bundle $L$ over $X$. A Hitchin pair $(E,\phi)$ on $X$ consists of a holomorphic vector bundle $E$ and an endomorphism $\phi$ of $E$ twisted by $L$. We prove that (under certain conditions on the genus of $X$, the degree of $L$ and the rank and degree of $E$) the moduli space of Hitchin pairs is irreducible, and that its isomorphism class uniquely determines the isomorphism class of the Riemann surface $X$.

The talk is based on joint work with I. Biswas and M. Logares.

Organised by: CTQM/QGM
Contact person: Jørgen Ellegaard Andersen