Elsevier

Advances in Mathematics

Volume 327, 17 March 2018, Pages 425-469
Advances in Mathematics

A stratification related to characteristic polynomials

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Abstract

We shall describe two problems in Beyond Endoscopy, the strategy advanced by Langlands for bringing the trace formula to bear on the general principle of functoriality. One is to be able to apply the Poisson summation formula to the regular elliptic part of the trace formula for a general linear group GL(n+1). The other is to be able to recognize the spectral contribution of the nontempered discrete spectrum to the resulting geometric expansion.

Keywords

Beyond Endoscopy
Poisson summation
Nontempered representations

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