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p-isogenies with G-structure

By Si Ying Lee

Appears in collection : Geometrization of the local Langlands correspondence - Thématic month week 4 / Géométrisation de la correspondance de Langlands locale - Mois thématique sem.4

I will talk about defining the notion of p-isogenies using the theory of F-gauges, and how this allows us to construct local and global Hecke correspondences. I will also discuss some expected consequences of this, such as constructions of Rapoport-Zink spaces, and formal Igusa stacks. This is joint work in progress with Keerthi Madapusi.

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