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