Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions

Fuente: arXiv
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Autor principal: Wang, Danielle
Formato: Preprint
Publicado: 2023
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author Wang, Danielle
author_facet Wang, Danielle
contents Using a relative trace formula approach, we prove the twisted global Gan-Gross-Prasad conjecture for $\operatorname{U}(V) \subseteq \operatorname{GL}(V)$, as well as its refinement, under some unramifiedness assumptions and local conditions on the quadratic extension and the automorphic representation.
format Preprint
id arxiv_https___arxiv_org_abs_2307_15234
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions
Wang, Danielle
Representation Theory
Number Theory
11F67, 11F70 (Primary) 22E55 (Secondary)
Using a relative trace formula approach, we prove the twisted global Gan-Gross-Prasad conjecture for $\operatorname{U}(V) \subseteq \operatorname{GL}(V)$, as well as its refinement, under some unramifiedness assumptions and local conditions on the quadratic extension and the automorphic representation.
title Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions
topic Representation Theory
Number Theory
11F67, 11F70 (Primary) 22E55 (Secondary)
url https://arxiv.org/abs/2307.15234