EVENT DETAILS AND ABSTRACT

Title: Every flat bundle on the punctured disc has an oper structure
Speaker: Xinwen Zhu
Speaker Info: Berkeley
Brief Description:
Special Note:
Abstract:

Let G be a complex reductive group. A G-oper on a complex curve is a G-(de Rham) local system on it with a reduction of the underlying G-bundle to the Borel satisfying certain conditions. It is known that not every G-local system on a complete curve has an oper structure. I will show, on the contrary, that every G-local system on the punctured disc admits an oper structure. This result plays an important role in a version of local geometrical Langlands correspondence proposal by Frenkel and Gaitsgory. This is a joint work with Edward Frenkel.