# An Arithmetic Fundamental Lemma for Unitary Group of Three Variable

 JOINT IAS/PU NUMBER THEORY SEMINAR Topic: An Arithmetic Fundamental Lemma for Unitary Group of Three Variable Speaker: Wei Zhang Affiliation: Harvard University Date: Thursday, October 8 Time/Room: 4:30pm - 5:30pm/Fine Hall -- 214

In this talk I'll present a relative trace formula approach to the Gross-Zagier formula and its high dimensional generalization (a derivative version of the global Gross-Prasad conjecture) for unitary group. In particular, an arithmetic fundamental lemma (AFL) is proposed. Some results proved recently will be presented, including the AFL for unitary group of three variable.