Speaker: Torsten Wedhorn (TU Darmstadt)

Title: Moduli of truncated things

Abstract: G-shtukas (classical and p-adic) for a reductive group G and their moduli spaces play an important role in the Langlands program (equi-characteristic and p-adic). Similarly, moduli spaces of G-displays can be viewed as period spaces for Shimura varieties in mixed characteristic. In this talk I will explain a general formalism how to construct moduli spaces of G-bundles on certain algebraic stacks. I will apply this formalism to construct and study moduli spaces of (truncated) G-shtukas, (truncated) G-displays, and (truncated) prismatic Breuil-Kisin-Fargues modules, focussing on the case of local G-shtukas