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The Riemann-Hilbert Functor
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Classroom Contents
Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry Part 1
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- 1 Intro
- 2 Hilbert's 21st Problem
- 3 Fuchsian Systems
- 4 The Monodromy Representation
- 5 The Riemann-Hilbert Problem
- 6 Reformulation
- 7 A Solution
- 8 Conclusion
- 9 Local Systems on Complex Manifolds
- 10 Local Systems on Projective Varieties
- 11 Local Systems on General Varieties
- 12 The Riemann-Hilbert Correspondence for Local Systems
- 13 Example: The Gauss-Manin Connection
- 14 Direct Image Sheaves
- 15 Algebraic D-Modules
- 16 Behavior of Flat Sections
- 17 The de Rham Complex
- 18 The Riemann-Hilbert Functor
- 19 Outline
