Panorama of Mathematics - Peter Scholze

Panorama of Mathematics - Peter Scholze

Hausdorff Center for Mathematics via YouTube Direct link

Intro

1 of 16

1 of 16

Intro

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Panorama of Mathematics - Peter Scholze

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

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