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arXiv · 1608.05938

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

Oscar E. González·Chung Hang Kwan·Steven J. Miller·Roger Van Peski·Tian An Wong
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Abstract

Recent work of Altu\u{g} 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 Altu\u{g}'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.

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Oscar E. González, Chung Hang Kwan, Steven J. Miller, Roger Van Peski, Tian An Wong. 2016-08-21. On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy. https://arxiv.org/abs/1608.05938

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