TY - JOUR
T1 - Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture
AU - Beuzart-Plessis, Raphaël
AU - Liu, Yifeng
AU - Zhang, Wei
AU - Zhu, Xinwen
N1 - Publisher Copyright:
© 2021. Department of Mathematics, Princeton University.
PY - 2021/9/1
Y1 - 2021/9/1
N2 - We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet–Rallis relative trace formula, we complete the proof of the global Gan–Gross–Prasad conjecture and its refinement Ichino–Ikeda conjecture for U(n) X U(n + 1) in the stable case.
AB - We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet–Rallis relative trace formula, we complete the proof of the global Gan–Gross–Prasad conjecture and its refinement Ichino–Ikeda conjecture for U(n) X U(n + 1) in the stable case.
KW - Cuspidal automorphic representations
KW - Gan–gross–prasad conjecture
KW - Isolation of spectrum
KW - Multipliers
KW - Trace formula
UR - https://www.scopus.com/pages/publications/85129864560
U2 - 10.4007/annals.2021.194.2.5
DO - 10.4007/annals.2021.194.2.5
M3 - Article
AN - SCOPUS:85129864560
SN - 0003-486X
VL - 194
SP - 519
EP - 584
JO - Annals of Mathematics
JF - Annals of Mathematics
IS - 2
ER -