School of Mathematics Colloquium

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

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

Thursday, September 22, 2011 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
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).