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SUMMARY:Roy Zhao (University of California at Berkeley)
DTSTART:20221206T213000Z
DTEND:20221206T223000Z
DTSTAMP:20260423T125619Z
UID:MITNT/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/65/">H
 eights on quaternionic Shimura varieties</a>\nby Roy Zhao (University of C
 alifornia at Berkeley) as part of MIT number theory seminar\n\nLecture hel
 d in Room 2-143 in the Simons Building (building 2).\n\nAbstract\nWe give 
 an explicit formula for the height of a special point on a quaternionic Sh
 imura variety in terms of Faltings heights of CM abelian varieties. This i
 s a generalization of the work of Yuan and Zhang on proving the averaged C
 olmez conjecture. We also show an application of this formula to the Andre
 -Oort conjecture\, which was recently proven by Pila\, Shankar\, and Tsime
 rman.\n
LOCATION:https://researchseminars.org/talk/MITNT/65/
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