Foliations and the cohomology of moduli spaces of bounded global $G$-shtukas

Abstract

For arbitrary reductive groups $G$ defined over a finite field, we decompose Newton strata in the special fiber of moduli spaces of global $G$-shtukas into a product of Rapoport-Zink spaces and Igusa varieties. This allows us to compare the $\ell$-adic cohomology of these spaces together with the various actions on them.

129 pages

References in corpus (1)

• The moduli stack of $G$-bundles

Cited by in corpus (1)

• Point Counting on Igusa Varieties for function fields