Canonical heights on Shimura varieties and the Andre-Oort conjecture
Ananth Shankar (University of Wisconsin, Madison)
15-Oct-2021, 01:30-02:30 (3 years ago)
Abstract: 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 where we prove the Andre Oort conjecture in full generality.
number theory
Audience: learners
Organizer: | Dohyeong Kim* |
Curators: | Byeong-Kweon Oh, Hwajong Yoo, Junho Peter Whang |
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