Galois representations associated to holomorphic limits of discrete series
Galois representations associated to holomorphic limits of discrete series
Abstract Generalizing previous results of Deligneā€“Serre and Taylor, Galois representations are attached to cuspidal automorphic representations of unitary groups whose Archimedean component is a holomorphic limit of discrete series. The main ingredient is a construction of congruences, using the Hasse invariant, that is independent of $q$ -expansions.