The Gan-Gross-Prasad conjecture for U(n) × U(n)

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Abstract

We prove the Gan-Gross-Prasad conjecture for U(n) × U(n) under some local conditions using a relative trace formula. We deduce some new cases of the Gan-Gross-Prasad conjecture for U(n + 1) × U(n) from the case of U(n) × U(n).

Original languageEnglish (US)
Pages (from-to)1130-1191
Number of pages62
JournalAdvances in Mathematics
Volume262
DOIs
StatePublished - Sep 10 2014
Externally publishedYes

Keywords

  • 11F70
  • Gan-Gross-Prasad conjecture
  • Relative trace formulae

ASJC Scopus subject areas

  • Mathematics(all)

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