Heights of special points and the Andre-Oort conjecture

Andrei Yafaev

19-Jan-2022, 16:00-17:00 (2 years ago)

Abstract: The Andre-Oort conjecture states that components of the Zariski closure of a set of special points in a Shimura variety, are special subvarieties. This conjecture has been a subject of active research in recent years. The last remaining step was to obtain lower bounds for Galois degrees of special points.

In a joint work with Gal Biniyamini and Harry Schmidt, we have formulated a conjecture on heights of special points and deduced from it the required bounds. Very recently, J.Pila, A.Shankar and J.Tsimerman announced a proof of our height conjecture, thus completing the proof of the Andre-Oort conjecture in full generality.

number theory

Audience: researchers in the topic


London number theory seminar

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