Springer theory and applications to number theory
Springer theory and applications to number theory

Eric Chen, Princeton University
Fine Hall 110
Classical Springer theory arose from Springer's observation that all representations of certain reflection groups can be
constructed from studying the geometry of flags. In this talk, we will introduce Springer's theorem via examples, and explain generalizations that have great arithmetic importance. More specifically, we will hint at how Springer theory over a "local" or "global" base allows us to geometrically interpret certain orbital integrals; this point of view is indispensable in Ngo's proof of the Fundamental Lemma.