Geometric Eisenstein series

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  • 12 December 1999
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 (this compactification has been also studied recently by B.Feigin, M.Finkelberg, A.Kuznetsov and I.Mirkovic in a slightly less general context). 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.

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