Towards the rational homotopy type of moduli stacks of G-bundles on curves

by Prof. Frank Neumann (University of Leicester, U.K.)

Thursday 22 Sept 2011, 16:00 → 17:00 Asia/Kolkata

AG-69 (Colaba Campus)

We will discuss some ideas on how to determine the rational homotopy type of some moduli stacks of principal $G$-bundles on an algebraic curve over the complex numbers. This relies on a good notion of homotopy types of associated topological stacks and an analysis of the Haefliger-Brown-Szarba model for the rational homotopy type of mapping spaces. This is work in progress with U. Bujis (Barcelona).