Galois, Grothendieck and Voevodsky - George Shabat

Galois, Grothendieck and Voevodsky - George Shabat

Institute for Advanced Study via YouTube Direct link

On the realization of Grothendieck's programme

13 of 20

13 of 20

On the realization of Grothendieck's programme

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Galois, Grothendieck and Voevodsky - George Shabat

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  1. 1 Introduction
  2. 2 Three mathematicians: education, recognition
  3. 3 1. Three mathematicians: some common features
  4. 4 1. Three mathematicians: tensions with the world
  5. 5 Three mathematicians: common legacy?
  6. 6 2. Three categories
  7. 7 2.0. Topological language: dessins d'enfants
  8. 8 2.1. Group-theoretical language: cartographie sets
  9. 9 2.2. Algebro-geometric language: Belyi pairs (III)
  10. 10 2.3. Category equivalences
  11. 11 2.4. Arithmetic geometry and Belyi height (1)
  12. 12 2.5. Grothendieck's fascination
  13. 13 On the realization of Grothendieck's programme
  14. 14 3.0. Counting dessins (II)
  15. 15 3.1. Absolute Galois group acting on dessins
  16. 16 3.2. Bad reductions
  17. 17 3.3. Example(1)
  18. 18 3.4. Generalizations
  19. 19 Dessins and moduli spaces
  20. 20 Conclusion

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