A REMARK ON A CONJECTURE OF BUZZARD-GEE AND THE COHOMOLOGY OF SHIMURA VARIETIES

We compare the conjecture of Buzzard-Gee on the association of Galois representations to C-algebraic automorphic representations with the conjectural description of the cohomology of Shimura varieties due to Kottwitz, and the reciprocity law at infinity due to Arthur. This is done by extending Langl...