MS Seminar (Mathematics - String Theory)

Speaker: Laura Schaposnik (U of Illinois at Chicago)
Title: Higgs bundles, branes and applications
Date: Tue, Jun 06, 2017, 13:15 - 14:45
Place: Seminar Room A
Abstract: We shall begin the talk by first introducing Higgs bundles for complex Lie groups and the associated Hitchin fibration, and recalling how to realize Langlands duality through spectral data. We will then look at a natural construction of families of subspaces which give different types of branes, and explain how the topology of some of these branes can be described by considering the Hitchin fibration. Finally, we shall give some applications of the above approaches in relation to Langlands duality, and other correspondences between integrable systems. Some of the work presented during the talk is in collaboration with David Baraglia (Adelaide), Steve Bradlow (UIUC) and Sebastian Heller (Universität Tübingen).