Seminar in Real and Complex Geometry

Thursday, May 12, 2022, 16:15-17:45, online (via zoom)




Sourav Das
(University of Haifa)

Higgs bundles on nodal curves


Abstract
             

In I987 Nigel Hitchin proved that the moduli space of Higgs bundles on a smooth projective curve (of genus greater than equal to 2) has a natural symplectic structure. In this talk I will briefly recall a few features of the moduli space. Then I will discuss the moduli spaces of Higgs bundles on nodal curves and how they are related to the moduli spaces of Higgs bundles on smooth curves via nice degenerations. I will also show that there is a relative log-symplectic structure on such a degeneration.