A symplectic look at the Fargues-Fontaine curve
Yanki Lekili, David Treumann
TL;DR
This paper explores the homological mirror symmetry of the Fargues-Fontaine curve in equal characteristic, providing new insights into its symplectic and algebraic structures.
Contribution
It introduces a symplectic perspective on the Fargues-Fontaine curve, linking it to mirror symmetry in a novel way.
Findings
Establishes a homological mirror symmetry framework for the Fargues-Fontaine curve
Connects symplectic geometry with p-adic Hodge theory
Provides new tools for understanding the curve's structure
Abstract
This paper discusses homological mirror symmetry for the Fargues-Fontaine curve of equal characteristic.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology