2020/09/30 by Esmail Arasteh Rad, Rad, Esmail Arasteh
Mathematics · Physics and Astronomy · #11G09 #14F42 #14H60 #14M15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2009.14568
openalex publication_date 2020/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we intend to look at the moduli stacks for global G-shtukas from a new perspective. We discuss a unifying interpretation of several moduli spaces (stacks) including moduli of global G-shtukas and (a variant of the) moduli of Higgs bundles. We view these spaces (stacks) as different fibers of a family over a scheme (stack) locally of finite type. We discuss (a relative version of) the local model theory for this family. We also consider the Hecke stacks over the moduli stack of G-shtukas and discuss the corresponding (motivic) Hecke operations.