Lecture----数学院晨兴数学中心

Title:	A proof of the local Gan-Gross-Prasad conjecture for unitary groups(I)
Speaker:	Raphael Beuzart-Plessis (Institute of Advanced Study)
Time:	2015-5-5, 14:00-16:00
Place:	110
Abstract:	The local Gan-Gross-Prasad conjectures (Bessel case) give a precise description of some branching-laws problems between orthogonal or unitary groups over local fields in terms of some arithmetic invariants which are local roots numbers. It is the local counterpart of the celebrated global Gan-Gross-Prasad conjecture linking the central values of certain L-functions to period of automorphic forms. In a pioneering work, Waldspurger and Moeglin-Waldspurger proved the full local conjecture for orthogonal groups over p-adic fields. In this series of talks, I will present a proof of the conjecture for unitary groups, in the special but fundamental case of tempered representations, which is in the continuation of Waldspurger's work but which has the advantage of treating all characteristic zero local fields (including the field of real numbers) at the same level.
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