QM Research Seminar: Fixed points of finite group actions in moduli spaces of G-bundles.

Speaker: Guillermo Barajas Ayuso (SDU)

Abstract:

Let X be a compact Riemann surface, G a connected reductive complex Lie group with centre Z and M(X,G) the moduli space of holomorphic G-bundles over X. We provide a description of fixed points of certain finite group actions on M(X,G). The considered actions involve extending the structure group by elements of Aut(G), "tensoring" by Z-bundles and pulling back by automorphisms of X.