Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture

DOI10.4007/annals.2021.194.2.5OpenAlexW3195673471WikidataQ113692558 ScholiaQ113692558MaRDI QIDQ1983100

Raphaël Beuzart-Plessis, Yifeng Liu, Wei Zhang, Xinwen Zhu

Publication date: 15 September 2021

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07169

zbMATH Keywords

multiplierstrace formulacuspidal automorphic representationsGan-Gross-Prasad conjectureisolation of spectrum

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (11)

Square root \(p\)-adic \(L\)-functions. I: Construction of a one-variable measure ⋮ Holomorphy of adjoint L-functions for \(\mathrm{GL}(n):n\le 4\) ⋮ The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case ⋮ Isolation of the cuspidal spectrum: the function field case ⋮ Spectral aspect subconvex bounds for \(U_{n+1} \times U_n\) ⋮ Spherical varieties, functoriality, and quantization ⋮ Relative trace formulae and the Gan-Gross-Prasad conjectures ⋮ Theta lifting and Langlands functoriality ⋮ Euler systems and the Bloch-Kato conjecture for automorphic Galois representations ⋮ Arithmetic and geometric Langlands program ⋮ On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

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