Global geometrised Rankin-Selberg method for GL(n)
Lysenko, Sergey
HAL, hal-00136904 / Harvested from HAL
Text on HAL
We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. We show that the geometric Langlands conjecture for an irreducible unramified local system E of rank n on a curve implies the existence of automorphic sheaves corresponding to the universal deformation of E. Then we calculate the `scalar product' of two automorphic sheaves attached to this universal deformation.
Publié le : 2001-07-05
Classification:  geometric Langlands,  Rankin-Selberg method,  MSC 11R39; 14H60,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-00136904,
     author = {Lysenko, Sergey},
     title = {Global geometrised Rankin-Selberg method for GL(n)},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00136904}
}

Lysenko, Sergey. Global geometrised Rankin-Selberg method for GL(n). HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00136904/