Resumen de On \mathsf {G} -isoshtukas over function fields

Paul Hamacher, Wansu Kim

• In this paper we classify isogeny classes of global G-shtukas over a smooth projective curve C/Fq (or equivalently σ-conjugacy classes in G(F⊗FqFq¯¯¯¯¯) where F is the field of rational functions of C) by two invariants κ¯,ν¯ extending previous works of Kottwitz. This result can be applied to study points of moduli spaces of G-shtukas and thus is helpful to calculate their cohomology.