The local Langlands correspondence for GLn over function fields
The local Langlands correspondence for GLn over function fields
Let F be a local field of characteristic p > 0. By adapting methods of Scholze [44], we give a new proof of the local Langlands correspondence for GLn over F .More specifically, we construct ℓ-adic Galois representations associated with many discrete automorphic representations over global function fields, which we …