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