The tannakian formalism and the langlands conjectures

David Kazhdan; Michael Larsen; Yakov Varshavsky

doi:https://doi.org/10.2140/ant.2014.8.243

The tannakian formalism and the langlands conjectures

David Kazhdan, Michael Larsen, Yakov Varshavsky

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	243-256
Number of pages	14
Journal	Algebra and Number Theory
Volume	8
Issue number	1
DOIs	https://doi.org/10.2140/ant.2014.8.243
State	Published - 2014

Keywords

Langlands conjectures
Tannaka duality

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.2140/ant.2014.8.243

Cite this

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AB - 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.

KW - Langlands conjectures

KW - Tannaka duality

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JO - Algebra and Number Theory

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ER -

The tannakian formalism and the langlands conjectures

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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