# Department of Pure Mathematics and Mathematical Statistics

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.

17May
May 17th 2022
14:30 to 15:30

## Venue:

https://maths-cam-ac-uk.zoom.us/j/92192959944?pwd=OVJ3d0pJS3RRaWhKOVBuMFJIM3FiQT09

## Speaker:

Ananth Shankar (University of Wisonsin)

## Series:

Number Theory Seminar