Langlands-Rapoport Conjecture Over Function Fields
  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 $\mathbb{F}_q$. 
Esmail Arasteh Rad and Urs Hartl
math.NT