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Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions

2023/07/27 by Danielle Wang, Wang, Danielle · 1 citation
Mathematics · #11F67 #11F70 (Primary) 22E55 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2307.15234

openalex publication_date 2023/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a relative trace formula approach, we prove the twisted global Gan-Gross-Prasad conjecture for U(V) ⊆ GL(V), as well as its refinement, under some unramifiedness assumptions and local conditions on the quadratic extension and the automorphic representation.

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