Geometric Eisenstein series
Copyright policy )Geometric Eisenstein series
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.
Revised version
- Massachusetts Institute of Technology United States
- Harvard University United States
reductive groups, Hecke-Petersson operators, differential operators (several variables), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Drinfeld's compactification, Mathematics - Algebraic Geometry, Eisenstein series, Hecke operators, FOS: Mathematics, Geometric class field theory, Representation Theory (math.RT), Algebraic Geometry (math.AG), Mathematics - Representation Theory
reductive groups, Hecke-Petersson operators, differential operators (several variables), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Drinfeld's compactification, Mathematics - Algebraic Geometry, Eisenstein series, Hecke operators, FOS: Mathematics, Geometric class field theory, Representation Theory (math.RT), Algebraic Geometry (math.AG), Mathematics - Representation Theory
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