The AndreOort conjecture follows from the Colmez conjecture
The AndreOort conjecture follows from the Colmez conjecture

Jacob Tsimerman, University of Toronto
IAS Room S101
The AndreOort 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 Pricnipally 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.