The tannakian formalism and the langlands conjectures

David Kazhdan, Michael Larsen, Yakov Varshavsky

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Let H be a connected reductive group over an algebraically closed field of characteristic zero, and let 0 be an abstract group. In this note, we show that every homomorphism of Grothendieck semirings φ: K+0[H]→K0+[Γ], which maps irreducible representations to irreducible, comes from a group homomorphism ρ:Γ→H(K). We also connect this result with the Langlands conjectures.

Original languageAmerican English
Pages (from-to)243-256
Number of pages14
JournalAlgebra and Number Theory
Volume8
Issue number1
DOIs
StatePublished - 2014

Keywords

  • Langlands conjectures
  • Tannaka duality

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