Joint IAS/Princeton University Number Theory Seminar

The local Gan-Gross-Prasad conjecture for real unitary groups

A classical branching theorem of Weyl describes how an irreducible representation of compact $U(n+1)$ decomposes when restricted to $U(n)$. The local Gan-Gross-Prasad conjecture provides a conjectural extension to the setting of representations of noncompact unitary groups lying in a generic L-packet. We prove this conjecture. Previously Beuzart-Plessis proved the ''multiplicity one in a Vogan packet'' part of the conjecture for tempered L-packets using the local trace formula approach initiated by Waldspurger. Our proof uses theta lifts instead, and is independent of the trace formula argument.

Date & Time

March 25, 2021 | 4:30pm – 5:30pm

Location

Remote Access

Affiliation

The University of Arizona

Event Series

Categories

Notes

Zoom link password hint: the three digit integer that is the cube of the sum of its digits.

Video link: https://www.ias.edu/video/local-gan-gross-prasad-conjecture-real-unitar…