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Spectral Methods
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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: Perfectoid Riemann-Hilbert Functors
- 3 Perfected Hodge-Tate Crystals
- 4 Crystals from the Riemann-Hilbert Functor
- 5 The Perfectoid Case
- 6 Perfectoidization of Schemes
- 7 Properties of the Perfectoidization
- 8 A More Concrete Riemann-Hilbert Functor
- 9 The Module Structure on RH
- 10 Spectral Methods
- 11 Computing the Perfectoidization
- 12 Affineness of Perfectoidization
- 13 Properties of the Riemann-Hilbert Functor
- 14 Example: Characteristic p
- 15 Mixed Characteristic
- 16 Finiteness Theorem
- 17 Globalization
- 18 Some Rigid Geometry
- 19 A Formula for RH
- 20 Zavyalov's Theorem
- 21 The Primitive Comparison Theorem
- 22 Exactness
- 23 Duality
- 24 Application
