| SHIMURA VARIETIES AND TRACE FORMULA SEMINAR | |
| Topic: | A Global Analogue of Springer Representations |
| Speaker: | Z.-W. Yun |
| Affiliation: | Princeton University |
| Date: | Friday, November 14 |
| Time/Room: | 10:30am - 12:00pm/S-101 |
I propose an analogue of Springer representations when the finite field in the classical version is replaced by a global function field. The Grothendieck-Springer alternation will be replaced by the so-called parabolic Hitchin fibration. I will construct an action of the affine Weyl group on the direct image complex of the parabolic Hitchin fibration. I will also discuss examples in SL(2) to illustrate properties of these global Springer representations.