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.