Langlands-Rapoport Conjecture Over Function Fields (1605.01575v2)

Abstract: In this article we formulate and prove the analogue of the Langlands-Rapoport conjecture for the moduli stacks of global $G$-shtukas. Here $G$ is a parahoric Bruhat-Tits group scheme over a smooth projective curve $C$ over a finite field $\mathbb{F}_q$.