Joint IAS/Princeton University Number Theory Seminar

Ax-Schanuel results for Shimura varieties

I will describe recent work with Ngaiming Mok and Jacob Tsimerman giving analogues of "Ax-Schanuel" for Shimura varieties. I will sketch the role of "o-minimal structures" in the proof, in particular point counting and powerful algebraicity results of Peterzil-Starchenko, in combination with hyperbolic geometry and monodromy, and describe versions in the setting of a differential field.

Date & Time

April 26, 2018 | 4:30pm – 5:30pm

Location

Fine Hall 214, Princeton University

Affiliation

University of Oxford

Event Series

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