Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport

Abstract

We state an improved version of the conjecture of Langlands and Rapoport, and we prove the conjecture for a large class of Shimura varieties. In particular, we obtain the first proof of the (original) conjecture for Shimura varieties of PEL-type.

References in corpus (3)

• Gerbes and abelian motives
• Geometry of Shimura varieties of Hodge type over finite fields
• Towards a proof of the conjecture of Langlands and Rapoport