COMPATIBLE SYSTEMS of GALOIS REPRESENTATIONS ASSOCIATED to the EXCEPTIONAL GROUP

George Boxer, F. R.A.N.K. Calegari, Matthew Emerton, Brandon Levin, Keerthi Madapusi Pera, Stefan Patrikis

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We construct, over any CM field, compatible systems of -adic Galois representations that appear in the cohomology of algebraic varieties and have (for all) algebraic monodromy groups equal to the exceptional group of type.

Original languageEnglish (US)
JournalForum of Mathematics, Sigma
DOIs
StateAccepted/In press - 2019
Externally publishedYes

Keywords

  • 11F70
  • 11F80 (primary)
  • 2010 Mathematics Subject Classification:
  • 20G41 (secondary)

ASJC Scopus subject areas

  • Analysis
  • Theoretical Computer Science
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Mathematics

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