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