# Arithmetic invariants of discrete Langlands parameters

@article{Gross2010ArithmeticIO, title={Arithmetic invariants of discrete Langlands parameters}, author={B. Gross and Mark Reeder}, journal={Duke Mathematical Journal}, year={2010}, volume={154}, pages={431-508} }

Let G be a reductive algebraic group over the local field k. The local Langlands conjecture predicts that the irreducible complex representations π of the locally compact group G(k) can be parametrized by objects of an arithmetic nature: homomorphisms φ from the Weil-Deligne group of k to the complex L-group of G, together with an irreducible representation ρ of the component group of the centralizer of φ. In light of this conjecture which has been established for algebraic tori, as well as for…

## 165 Citations

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