Chennai Mathematical Institute


3.30 pm, Lecture Hall 6
Partial compactifications of Loop groups and moduli of $G$-bundles on curves

Pablo Solis
University of California, Berkeley.


This talk will discuss two related objects: the moduli stack of G bundle on a smooth curve and the coarse moduli space of semistable G bundles. I'll discuss how to describe these objects using loop groups which are basically the C((z))-valued points of algebraic groups. Then I'll discuss a certain partial compactification of the loop group which can be used to describe degenerations of these moduli spaces when the underlying curve develops a nodal singularity. I'll describe the properties of the compactification which demonstrate why it provides a loop group analogue of the wonderful compactification of a semisimple algebraic group.