An example of the geometric Langlands correspondence

In this semester, we will go over the paper by D. Arinkin and R. Fedorov "An example of the Langlands correspondence for irregular rank two connections on P¹."  In fact, the goal will be to understand the regular case as well as connections to more modern approaches to Langlands correspondence. In this paper, the authors construct a derived equivalence between certain moduli space of bundles and moduli space of bundles with connections.

In the first talk, I will give an overview of the results.