MIT Number Theory Seminar
Tuesday, December 06, 2022 at 4:30pm to 5:30pm
MIT, 2-143 182 Memorial Drive, Cambridge, MA 02142
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.