EVENT DETAILS AND ABSTRACT

Title: A global analogue of Springer representations
Speaker: Professor Zhiwei Yun
Speaker Info: Princeton
Brief Description:
Special Note:
Abstract:

Classical Springer theory originated from the study of representations of groups over a finite field. I will replace the finite field by the function field of a curve (or a global function field), as people often do in number theory. I will describe how to get generalizations of Springer representations in this "global" situation by considering Hitchin moduli spaces with parabolic structures. I will discuss an example in SL(2) to convince you that these representations are highly nontrivial, and from this example we can see general properties of such representations. Time permitting, I will mention the relation between global Springer representations and Langlands duality.