The Tannakian Formalism and the Langlands Conjectures
Number Theory
2016-01-20 v2
Abstract
Let H be a connected reductive group over an algebraically closed field of characteristic zero, and let G be an abstract group. In this note we show that every homomorphism from the Grothendieck semiring of H to that of G which maps irreducible representations to irreducibles, comes from a group homomorphism from G to H. We also connect this result with the Langlands conjectures.
Keywords
Cite
@article{arxiv.1006.3864,
title = {The Tannakian Formalism and the Langlands Conjectures},
author = {David Kazhdan and Michael Larsen and Yakov Varshavsky},
journal= {arXiv preprint arXiv:1006.3864},
year = {2016}
}
Comments
15 pages