Geometrization of the local Langlands correspondence, motivically

Published 14 Jan 2025 in math.AG, math.NT, and math.RT | (2501.07944v1)

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

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