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SUMMARY:Andrei Yafaev
DTSTART:20220119T160000Z
DTEND:20220119T170000Z
DTSTAMP:20260418T065926Z
UID:LNTS/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/58/">He
 ights of special points and the Andre-Oort conjecture</a>\nby Andrei Yafae
 v as part of London number theory seminar\n\n\nAbstract\nThe Andre-Oort co
 njecture states that components of the Zariski closure of a set of\nspecia
 l points in a Shimura variety\, are special subvarieties.\nThis conjecture
  has been a subject of active research in \nrecent years.\nThe last remain
 ing step was to obtain lower bounds for Galois\ndegrees of special points.
 \n\nIn a joint work with Gal Biniyamini and Harry Schmidt\, we have formul
 ated a conjecture \non heights of special points and deduced from it the r
 equired bounds.\nVery recently\, J.Pila\, A.Shankar and J.Tsimerman \nanno
 unced a proof of our height conjecture\, thus completing the proof\nof the
  Andre-Oort conjecture in full generality.\n
LOCATION:https://researchseminars.org/talk/LNTS/58/
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