MIT Number Theory Seminar

Tuesday, December 06, 2022 at 4:30pm to 5:30pm

MIT, 2-143 182 Memorial Drive, Cambridge, MA 02142

SpeakerRoy Zhao (University of California Berkeley)

Title: Heights on quaternionic Shimura varieties

Abstract:  We give an explicit formula for the height of a special point on a quaternionic Shimura variety in terms of Faltings heights of CM abelian varieties. This is a generalization of the work of Yuan and Zhang on proving the averaged Colmez conjecture. We also show an application of this formula to the Andre-Oort conjecture, which was recently proven by Pila, Shankar, and Tsimerman.






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Bjorn Poonen, Number Theory Seminar, Number_Theory_Seminar, Wei Zhang, Andrew Sutherland


Department of Mathematics


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