# The André-Oort conjecture follows from the Colmez conjecture

 Joint IAS/Princeton University Number Theory Seminar Topic: The André-Oort conjecture follows from the Colmez conjecture Speaker: Jacob Tsimerman Affiliation: University of Toronto Date: Thursday, April 9 Time/Room: 4:30pm - 5:30pm/S-101 Video Link: http://video.ias.edu/puias/2015/0408-JacobTsimerman

The André-Oort conjecture says that any subvariety of a Shimura variety with a Zariski dense set of CM points must itself be a Shimura subvariety. In recent years, this has been the subject of much work. We explain how this conjecture for the moduli space of principally polarized abelian varieties of some dimension $g$ follows from current knowledge and a conjecture of Colmez regarding the Faltings heights of CM abelian varieties--in fact its enough to assume an averaged version of the Colmez conjecture.