|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||The André-Oort conjecture follows from the Colmez conjecture|
|Affiliation:||University of Toronto|
|Date:||Thursday, April 9|
|Time/Room:||4:30pm - 5:30pm/S-101|
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.