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Perfectoid Rings
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Classroom Contents
Jacob Lurie: A Riemann-Hilbert Correspondence in P-Adic Geometry
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- 1 Intro
- 2 Last Time
- 3 Computing the Riemann-Hilbert Functor
- 4 Beyond Characteristic p?
- 5 Perfection
- 6 Perfectoid Rings
- 7 Existence of Perfectoidizations
- 8 Perfectoidization with Compact Supports
- 9 Relationship with the Riemann-Hilbert Functor
- 10 Perfected Prismatic Cohomology with Compact Supports
- 11 Extension to Derived Categories
- 12 Properties of the Riemann-Hilbert Functor
- 13 A Simplification
- 14 Example: Characteristic p
- 15 Anatomy of Sheaves
- 16 Sheaves on the Special Fiber
- 17 The Almost Category
- 18 Perfectoid Spaces
- 19 Recollections
- 20 Digression
- 21 Perfectoid Analogue
- 22 Comparison of Riemann-Hilbert Functors
- 23 Variant
