Moduli of truncated shtukas and displays

TL;DR

This paper develops a formalism of frames to analyze moduli spaces of truncated local shtukas and displays, describing them as quotient stacks and connecting to prismatic structures.

Contribution

It introduces a unified framework of frames applicable to truncated shtukas, displays, and prismatic structures, providing new descriptions of their moduli spaces.

Findings

Moduli spaces are described as concrete quotient stacks.

A general formalism of frames is developed for these moduli spaces.

Connections to prismatic displays and F-gauges are established.

Abstract

We study moduli spaces of truncated local shtukas and truncated displays and describe them as concrete quotient stacks. To do this, we develop a general formalism of frames that can be applied in both cases and is also used to study prismatic displays and prismatic F-gauges.