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NT&AG: Eyal Goren (McGill University), "p-adic dynamics of Hecke operators" | Einstein Institute of Mathematics

NT&AG: Eyal Goren (McGill University), "p-adic dynamics of Hecke operators"

Date: 
Mon, 27/02/201715:00-16:00
Location: 
Ross 70A
Abstract:
Motivated by understanding the action of Hecke operators on special sub-varieties of Shimura varieties, we consider the simplest possible case: the action of Hecke operators on the j-line, namely on the moduli space of elliptic curves, and in particular the action on singular moduli. Our interest is in this action considered in the p-adic topology. The emerging picture is surprisingly rich and the answers involve Serre-Tate coordinates, the Gross-Hopkins period map and finally involves random walks on GL_n.
This is joint work with Payman Kassaei (King's College).
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