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Local geometrized Rankin-Selberg method for GL(n) and its application by Sergey Lysenko is a Mathematics article available to read on EtoBox.

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We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. Our main result is local. For n = 2 we apply it to prove a global result that gives a geometric version of the computation of the scalar product of two normalized cusp Hecke eigenforms as a residue of the Rankin-Selberg convolution. 0 1999 Academic des sciences&ditions scientifiques et medicales Elsevier SAS Mbthode de Rankin-Selberg locale &om6tri&e pour GL(n) et son application R&urn& Nous proposons une interpretation geome'trique de la me'thode classique de Rankin-Selberg pour GL(n) darts le cadre du programme de Langlands geometrique. Notre resultat principal est local. Pour n = 2 on en deduit un resultat global qui fournit une version ge'ometrique du calcul du produit scalaire de deux formes automorphes cuspidales comme un residu de la convolution de Rankin-Selberg. 0 1999 Academic des sciences&ditions scientifiques et medicales Elsevier SAS Version frangaise abr>Se &ant don& une courbe X (voir ci-dessous), considerons un Q',-faisceau Eo lisse irrkductible de rang 2 sur X. On ne dispose pas d'espace de modules des systbmes locaux e-adiques

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Author

Sergey Lysenko

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0764-4442)

Published

1999

Language

EN

Field

Mathematics (Physical Sciences)