Geometric Eisenstein series
Algebraic Geometry
2007-05-23 v2 Representation Theory
Abstract
The purpose of this of this paper is to develop the theory of Eisenstein series in the framework of geometric Langlands correspondence. Our construction is based on the study of certain relative compactification of the moduli stack of parabolic bundles on a curve suggested by V.Drinfeld. As an application we construct certain automorphic forms for global fields of positive characteristic, whose existence is non-obvious from the point of view of classical tools.
Cite
@article{arxiv.math/9912097,
title = {Geometric Eisenstein series},
author = {A. Braverman and D. Gaitsgory},
journal= {arXiv preprint arXiv:math/9912097},
year = {2007}
}
Comments
Revised version