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 Setting the Stage
  3. 3 Local Systems on a Point
  4. 4 Analogue over K?
  5. 5 The Cyclotomic Character
  6. 6 Galois Representations from Geometry
  7. 7 Classical Hodge Theory
  8. 8 Hodge-Tate Representations
  9. 9 The Hodge-Tate Decomposition
  10. 10 Digression
  11. 11 Coherent Description of Étale Cohomology
  12. 12 Rigid-Analytic Description
  13. 13 Fundamental Calculation
  14. 14 The Riemann-Hilbert Correspondence of Lecture 2
  15. 15 The Functor RHC
  16. 16 p-adic Hodge Theory
  17. 17 The Classical Story
  18. 18 Example
  19. 19 The Comparison Conjecture
  20. 20 Sketch of Proof
  21. 21 Period Sheaves
  22. 22 Comparison with Coefficients
  23. 23 de Rham Local Systems

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