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Automorphic Vector Bundles and Local Systems

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

Abstract

In this section we begin with the general theory of local systems,aut omorphic vector bundles,a nd automorphy factors. After describing the finite-dimensional representation theory of GL2 we determine the explicit equations relating modular forms and differential forms.

Keywords

Vector Bundle Modular Form Local System Automorphic Form Maximal Compact Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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