Geometrization of the local Langlands correspondence, motivically

My work with Fargues on the geometrization of the local Langlands correspondence works with l-adic cohomology and hence the resulting L-parameters depend, a priori, on the auxiliary prime l. In this talk, I want to explain an approach for obtaining independence of l by upgrading our results to motivic coefficients, using the theory of rigid-analytic motives by Ayoub, Vezzani, ... .