Deformation theory and local-global compatibility of langlands correspondences

Martin Luu

Research output: Contribution to journalArticlepeer-review

Abstract

The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations predicted by a local Langlands correspondence.

Original languageEnglish (US)
Pages (from-to)1-116
Number of pages116
JournalMemoirs of the American Mathematical Society
Volume238
Issue number1123
StatePublished - Nov 1 2015

Keywords

  • Langlands correspondence
  • Local-global compatibility

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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