COMPARISON of LOCAL RELATIVE CHARACTERS and the ICHINO-IKEDA CONJECTURE for UNITARY GROUPS

Raphaël Beuzart-Plessis

doi:10.1017/S1474748019000707

COMPARISON of LOCAL RELATIVE CHARACTERS and the ICHINO-IKEDA CONJECTURE for UNITARY GROUPS

Raphaël Beuzart-Plessis

Université de Provence

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove a conjecture of Wei Zhang on comparison of certain local relative characters from which we draw some consequences for the Ichino-Ikeda conjecture for unitary groups.

Original language	English
Pages (from-to)	1803-1854
Number of pages	52
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	20
Issue number	6
DOIs	https://doi.org/10.1017/S1474748019000707
Publication status	Published - 22 Nov 2021
Externally published	Yes

Keywords

automorphic representations
Ichino-Ikeda conjecture
relative characters
relative trace formula
unitary groups

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10.1017/S1474748019000707

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title = "COMPARISON of LOCAL RELATIVE CHARACTERS and the ICHINO-IKEDA CONJECTURE for UNITARY GROUPS",

abstract = "In this paper, we prove a conjecture of Wei Zhang on comparison of certain local relative characters from which we draw some consequences for the Ichino-Ikeda conjecture for unitary groups.",

keywords = "automorphic representations, Ichino-Ikeda conjecture, relative characters, relative trace formula, unitary groups",

author = "Rapha{\"e}l Beuzart-Plessis",

note = "Publisher Copyright: {\textcopyright} 2020 Cambridge University Press.",

year = "2021",

month = nov,

day = "22",

doi = "10.1017/S1474748019000707",

language = "English",

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journal = "Journal of the Institute of Mathematics of Jussieu",

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T1 - COMPARISON of LOCAL RELATIVE CHARACTERS and the ICHINO-IKEDA CONJECTURE for UNITARY GROUPS

AU - Beuzart-Plessis, Raphaël

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Y1 - 2021/11/22

N2 - In this paper, we prove a conjecture of Wei Zhang on comparison of certain local relative characters from which we draw some consequences for the Ichino-Ikeda conjecture for unitary groups.

AB - In this paper, we prove a conjecture of Wei Zhang on comparison of certain local relative characters from which we draw some consequences for the Ichino-Ikeda conjecture for unitary groups.

KW - automorphic representations

KW - Ichino-Ikeda conjecture

KW - relative characters

KW - relative trace formula

KW - unitary groups

UR - https://www.scopus.com/pages/publications/85079283320

U2 - 10.1017/S1474748019000707

DO - 10.1017/S1474748019000707

M3 - Article

AN - SCOPUS:85079283320

SN - 1474-7480

VL - 20

SP - 1803

EP - 1854

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

IS - 6

ER -

COMPARISON of LOCAL RELATIVE CHARACTERS and the ICHINO-IKEDA CONJECTURE for UNITARY GROUPS

Abstract

Keywords

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