2022/08/01 by Paul Hamacher, Hamacher, Paul, Wansu Kim +1
Mathematics · #14G35 #14H60 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2208.01069
openalex publication_date 2022/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Igusa varieties over the special fibre of Shimura varieties have demonstrated many applications to the Langlands program via Mantovan's formula and Shin's point counting method. In this paper we study Igusa varieties over the moduli stack of global \Gscr-shtukas and (under certain conditions) calculate the Hecke action on its cohomology. As part of their construction we prove novel results about local G-shtukas in both equal and unequal characteristic and also discuss application of these results to Barsotti-Tate groups and Shimura varieties.