Joint IAS/Princeton University Number Theory Seminar | |

Topic: | Diophantine problems and the $p$-adic Torelli map |

Speaker: | Brian Lawrence |

Affiliation: | Stanford University |

Date: | Thursday, February 9 |

Time/Room: | 4:30pm - 5:30pm/Fine 214, Princeton University |

We explore the comparison isomorphism of $p$-adic Hodge theory in the case of elliptic curves, and discuss some ideas which may be used to prove the S-unit theorem and the finiteness of rational points on higher-genus curves (Faltings' theorem).