Jacob Lurie: A Riemann-Hilbert Correspondence in P-Adic Geometry

Jacob Lurie: A Riemann-Hilbert Correspondence in P-Adic Geometry

Hausdorff Center for Mathematics via YouTube Direct link

Intro

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1 of 23

Intro

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Jacob Lurie: A Riemann-Hilbert Correspondence in P-Adic Geometry

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

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