Canonical heights and the Andre-Oort conjecture

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• Ananth Shankar (University of Wisonsin)
• Tuesday 17 May 2022, 14:30-15:30
• https://maths-cam-ac-uk.zoom.us/j/92192959944?pwd=OVJ3d0pJS3RRaWhKOVBuMFJIM3FiQT09.

If you have a question about this talk, please contact Rong Zhou.

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.

This talk is part of the Number Theory Seminar series.

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