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Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups

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arxiv 1602.06538 v2 pith:KCFAYVGE submitted 2016-02-21 math.NT math.RT

Raphaël Beuzart-Plessis This is my paper · ORCID
classification math.NTmath.RT
keywords conjecturecharacterscomparisongroupsichino-ikedalocalsphericalunitary
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In this paper, we prove a conjecture of Wei Zhang on comparison of certain local spherical characters from which we draw some consequences for the Ichino-Ikeda conjecture for unitary groups.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weil representation and Arithmetic Fundamental Lemma

    math.NT 2019-09 conditional novelty 8.0 of 10

    A global proof of the arithmetic fundamental lemma for unitary groups over Q_p (odd p >= n) via an SL_2-equivariant relative trace formula and derived CM cycles, which also yields the Jacquet-Rallis fundamental lemma ...

  2. Squarefree numbers in short intervals: explicit and formalized

    math.NT 2026-08 conditional novelty 6.0 of 10

    For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.

  3. Geometrization of summation formulae for quadrics

    math.NT 2026-05 unverdicted novelty 6.0 of 10

    Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.

  4. Weyl algebras on Braverman-Kazhdan spaces

    math.RT 2026-05 unverdicted novelty 4.0 of 10

    Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.

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