L-packets and the generic Arthur packet conjectures for even unitary similitude groups

Yeansu Kim; Muthu Krishnamurthy; Freydoon Shahidi

doi:10.48550/arxiv.2506.00892

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L-packets and the generic Arthur packet conjectures for even unitary similitude groups

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L-packets and the generic Arthur packet conjectures for even unitary similitude groups

Yeansu Kim, Muthu Krishnamurthy and Freydoon Shahidi

ArXiV.org

Cornell University

06/01/2025

DOI: 10.48550/arxiv.2506.00892

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We establish the generic local Langlands correspondence by showing the equality of the Langlands-Shahidi -functions and Artin -functions in the case of even unitary similitude groups. As an application, we prove both weak and strong versions of the generic Arthur packet conjectures in the cases of even unitary similitude groups and even unitary groups. We further describe (not necessarily generic) -packets for even unitary similitude groups and establish their expected properties, including Shahidi's conjecture, the finiteness of -packets, and other related results.

Mathematics - Number Theory

Details

Title: Subtitle: L-packets and the generic Arthur packet conjectures for even unitary similitude groups
Creators: Yeansu Kim
Muthu Krishnamurthy
Freydoon Shahidi
Resource Type: Preprint
Publication Details: ArXiV.org
DOI: 10.48550/arxiv.2506.00892
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 06/01/2025
Academic Unit: Mathematics
Record Identifier: 9984827327502771

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