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Published September 2021 | Version Submitted
Journal Article Open

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

Creators

  • 1. ROR icon Institut de Mathématiques de Marseille
  • 2. ROR icon Zhejiang University
  • 3. ROR icon Massachusetts Institute of Technology
  • 4. ROR icon California Institute of Technology

Abstract

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) × U(n + 1) in the stable case.

Additional Information

© 2021 Department of Mathematics, Princeton University. Received: January 17, 2020; Revised: May 17, 2021.

Attached Files

Submitted - 1912.07169.pdf

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1912.07169.pdf

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Additional details

Identifiers

Eprint ID
111153
DOI
10.4007/annals.2021.194.2.5
Resolver ID
CaltechAUTHORS:20211001-181306591

Related works

Describes
10.4007/annals.2021.194.2.5 (DOI)
https://arxiv.org/abs/1912.07169 (URL)

Dates

Created
2021-10-04
Created from EPrint's datestamp field
Updated
2021-10-04
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Physics Department