Séminaire Arithmétique et géométrie algébrique
organisé par l'équipe Arithmétique et géométrie algébrique
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Sean Howe
Tangent Bundles in p-adic geometry
21 novembre 2024 - 14:00Salle de séminaires IRMA
Many important moduli spaces in modern p-adic Hodge theory mix the theory of rigid analytic geometry, which is a p-adic analog of the theory of complex analytic spaces, with the topological theory of profinite sets. In the usual approaches based on perfectoid rings, the profinite directions often eliminate the possibility of obtaining an interesting differential theory for these objects. In this talk, we discuss some progress towards constructing a better differential theory, and how it connects to other recent advances in p-adic geometry and p-adic Hodge theory.