A Global Analogue of Springer Representations

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.