Foliations and the cohomology of moduli spaces of bounded global   $G$-shtukas
  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. 
Stephan Neupert
math.NT math.AG math.RT