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.