On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy

Recent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for \(GL(2)\) by removing the contribution of the trivial representation to the trace formula using a Poisson summation formula. We show that Altuğ's method of smoothing real elliptic orbital in...

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Bibliographic Details
Published in:arXiv.org 2017-09
Main Authors: González, Oscar E, Chung Hang Kwan, Miller, Steven J, Roger Van Peski, Tian An Wong
Format: Article
Language:English
Subjects:
Endoscopy
Functional equations
Integrals
Obstructions
Singularities
Smoothing
Online Access:Get full text
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Summary:Recent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for \(GL(2)\) by removing the contribution of the trivial representation to the trace formula using a Poisson summation formula. We show that Altuğ's method of smoothing real elliptic orbital integrals by an approximate functional equation extends to \(GL(n)\). We also discuss the case of an arbitrary reductive group, and remaining obstructions for applying Poisson summation.
ISSN:2331-8422