Torsten Wedhorn: Moduli of truncated local G-shtukas

Abstract:

We develop a general formalism to deal with truncations of displays, prismatic Breuil-Kisin modules, or local shtukas and their moduli. The talk focuses on truncated local \(G\)-shtukas and their moduli spaces. We explain how their description yields an identification of their motive to that of the motive of the stack of \(G\)-zips implying in particular an identification for (higher) Chow groups.

This is joint work with Eva Viehmann and (in part) with Can Yaylali.