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arXiv · 2501.07944

Geometrization of the local Langlands correspondence, motivically

Peter Scholze
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Abstract

Based on the formalism of rigid-analytic motives of Ayoub--Gallauer--Vezzani, we extend our previous work with Fargues from $\ell$-adic sheaves to motivic sheaves. In particular, we prove independence of $\ell$ of the $L$-parameters constructed there.

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Peter Scholze. 2025-01-14. Geometrization of the local Langlands correspondence, motivically. https://arxiv.org/abs/2501.07944

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