Galois representations associated to holomorphic limits of discrete series

Wushi Goldring, Sug Woo Shin
2013 Compositio Mathematica  
AbstractGeneralizing previous results of Deligne–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.
doi:10.1112/s0010437x13007355 fatcat:5dxoujqo6fe3ngb6v5yte225sq