Langlands-Rapoport Conjecture Over Function Fields

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 ${\mathbb{F}}_q$.

33 pages. arXiv admin note: text overlap with arXiv:1302.6143

References in corpus (2)

• On parahoric subgroups
• Twisted loop groups and their affine flag varieties

Cited by in corpus (6)

• Local Models For The Moduli Stacks of Global $G$-Shtukas
• Category Of C-Motives Over Finite Fields
• Rapoport-Zink Spaces For Local P-Shtukas and Their Local Models
• Integral models of moduli spaces of shtukas with deep Bruhat-Tits level structures
• On $\mathsf{G}$-isoshtukas over function fields
• Nearby cycles of parahoric shtukas, and a fundamental lemma for base change