Joint IAS/Princeton University Number Theory Seminar | |

Topic: | The arithmetic fundamental lemma for unitary groups: an update |

Speaker: | Wei Zhang |

Affiliation: | Massachusetts Institute of Technology |

Date: | Thursday, December 12 |

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

This is an update on the talk I gave about 10 years ago on this seminar. The arithmetic Gan-Gross-Prasad (AGGP) conjecture, a high dimensional generalization of the Grossâ€“Zagier theorem, relates the height pairing of arithmetic diagonal cycles on certain product Shimura varieties to the first central derivative of Rankin-Selberg tensor product L-functions. The arithmetic fundamental lemma conjecture arises from the relative trace formula approach to the AGGP conjecture. I will recall the statement of the arithmetic fundamental lemma and present (a sketch of) a proof.â€‹