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The Automorphic Description of Intersection Cohomology

  • Jayce Getz
  • Mark Goresky
Chapter
Part of the Progress in Mathematics book series (PM, volume 298)

Abstract

In this chapter we use Proposition 6.6 to construct a map
$$ {\rm Hilbert\, modular \,forms} \,{\longrightarrow}^{\omega}\,{\rm intersection \,cohomology}$$
which takes
$${\rm weight\,nebentypus }\,{\longrightarrow}\,{\rm local \,coefficient \,system}$$
$${\rm Hecke \,operator}\quad\quad{\longrightarrow}\,{\rm action \,of \,Hecke\,correspondence}$$
$${\rm Petersson\,product }\,{\longrightarrow}\,{\rm intersection \,product}$$

Keywords

Vector Bundle Modular Form Local System Automorphic Form Double Coset 
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Copyright information

© Springer Basel 2012

Authors and Affiliations

  • Jayce Getz
    • 1
  • Mark Goresky
    • 2
  1. 1.Department of MathematicsMcGill UniversityMontrealCanada
  2. 2.School of MathematicsInstitute for Advanced StudyPrincetonUSA

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