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Berkeley-Caltech-Stanford Joint Number Theory Seminar

Monday, February 21, 2022
12:30pm to 1:30pm
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Canonical heights and the Andre-Oort conjecture
Ananth Shankar, Department of Mathematics, University of Wisconsin – Madison,

Let S be a Shimura variety. The Andre-Oort conjecture posits that the Zariski closure of special points must be a sub Shimura subvariety of S. The Andre-Oort conjecture for A_g (the moduli space of principally polarized Abelian varieties) — and therefore its sub Shimura varieties — was proved by Jacob Tsimerman. However, this conjecture was unknown for Shimura varieties without a moduli interpretation. I will describe joint work with Jonathan Pila and Jacob Tsimerman (with an appendix by Esnault-Groechenig) where we prove the Andre Oort conjecture in full generality.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].