Geometry/Physics Seminar

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

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.
Date: Tuesday, January 06, 2009
Time: 4:00pm
Where: Lunt 107
Contact Person: David Nadler
Contact email: nadler@math.northwestern.edu
Contact Phone:
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