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SUMMARY:Andrei Yafaev (University College London)
DTSTART:20211013T150000Z
DTEND:20211013T160000Z
DTSTAMP:20260423T021425Z
UID:hnts/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/38/">Lo
 wer bounds for Galois orbits of special points and the Andre-Oort conjectu
 re</a>\nby Andrei Yafaev (University College London) as part of Heilbronn 
 number theory seminar\n\nLecture held in Fry Building 2.04.\n\nAbstract\nT
 he Andre-Oort conjecture has been an open problem for over 30 years. The l
 ast hurdle in its proof (using the strategy using o-minimality) has been t
 he problem of bounding below the degrees of special points in Shimura vari
 eties. In a joint work with Gal Biniyamini and Harry Schmidt\, we have pro
 ved the lower bounds conditional on a conjecture on bounds on heights of s
 pecial points. Very recently J. Pila and J. Tsimerman have announced the p
 roof of this conjecture thus completing the proof. We will present the wor
 k with G. Biniyamini and H. Schmidt.\n
LOCATION:https://researchseminars.org/talk/hnts/38/
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