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Symmetric spaces
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Classroom Contents
Panorama of Mathematics - Peter Scholze
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- 1 Intro
- 2 What is the relation between the following?
- 3 Symmetric spaces
- 4 Hyperbolic 3-space
- 5 The homology of Bianchi manifolds
- 6 The torsion homology of Bianchi manifolds
- 7 Existence of Galois representations
- 8 Relation to Galois representations
- 9 Hecke operators
- 10 Figueiredo's example
- 11 Hecke eigenvalues
- 12 Answer: A non-abelian reciprocity law
- 13 Where does K/K come from?
- 14 Where does K/K actually come from?
- 15 Steps of the construction
- 16 The key step: Sketch
