Tuomas Tajakka (Stockholm)
PDL C-38
Title: Projective moduli spaces of principal bundles of reductive groups
Abstract: In his PhD thesis in 1976, Ramanathan defined a notion of stability for principal G-bundles for a connected, reductive structure group G, and constructed a projective moduli space of semistable G-bundles over a smooth, projective curve using geometric invariant theory. We will explain how to use modern stack-theoretic techniques to extend this result to the case when G is possibly disconnected, a result that does not seem to appear in the literature. Joint work with Stefan Reppen.
Abstract: In his PhD thesis in 1976, Ramanathan defined a notion of stability for principal G-bundles for a connected, reductive structure group G, and constructed a projective moduli space of semistable G-bundles over a smooth, projective curve using geometric invariant theory. We will explain how to use modern stack-theoretic techniques to extend this result to the case when G is possibly disconnected, a result that does not seem to appear in the literature. Joint work with Stefan Reppen.