Geometrization of the local Langlands correspondence, motivically
arXiv:2501.07944
Abstract
Based on the formalism of rigid-analytic motives of Ayoub--Gallauer--Vezzani, we extend our previous work with Fargues from -adic sheaves to motivic sheaves. In particular, we prove independence of of the -parameters constructed there.
27 pages. final version, to appear in Crelle