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Compatibility of the Fargues-Scholze and Gan-Takeda Local Langlands

Hamann, Linus
arXiv (All) · Papers
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number-theoryrepresentation-theory
Given a prime $p$, a finite extension $L/\mathbb{Q}_{p}$, a connected $p$-adic reductive group $G/L$, and a smooth irreducible representation $π$ of $G(L)$, Fargues-Scholze recently attached a semisimple Weil parameter to such $π$, giving a general candidate for the local Langlands correspondence. I
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