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Algebra Seminar

Friday, October 22, 2021 - 3:30pm

Ananth Shankar

University of Wisconsin


University of Pennsylvania


email Ching-Li for the zoom link

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.