Recall the definition of the Weil group of a non-archimedean local field. Give some recollections about reductive groups, in order to define the L-group and
L-homomorphisms. Give the different possible definitions [DHKM20, (1)-(4) on pages 2 and 4] of L-parameters. Explain why these agree for ℓ-adic coefficients, using Grothendieck’s ℓ-adic monodromy theorem, and why they differ for more general coefficients

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