Lecture 17. The v-topology

Chapters in this book

1. Frontmatter i
2. Contents v
3. Foreword ix
4. Lecture 1. Introduction 1
5. Lecture 2. Adic spaces 7
6. Lecture 3. Adic spaces II 17
7. Lecture 4. Examples of adic spaces 27
8. Lecture 5. Complements on adic spaces 35
9. Lecture 6. Perfectoid rings 41
10. Lecture 7. Perfectoid spaces 49
11. Lecture 8. Diamonds 56
12. Lecture 9. Diamonds II 64
13. Lecture 10. Diamonds associated with adic spaces 74
14. Lecture 11. Mixed-characteristic shtukas 90
15. Lecture 12. Shtukas with one leg 98
16. Lecture 13. Shtukas with one leg II 108
17. Lecture 14. Shtukas with one leg III 115
18. Lecture 15. Examples of diamonds 131
19. Lecture 16. Drinfeld's lemma for diamonds 140
20. Lecture 17. The v-topology 149
21. Lecture 18. v-sheaves associated with perfect and formal schemes 161
22. Lecture 19. The B+dR-affine Grassmannian 169
23. Lecture 20. Families of affine Grassmannians 182
24. Lecture 21. Affine flag varieties 191
25. Lecture 22. Vector bundles and G-torsors on the relative Fargues-Fontaine curve 207
26. Lecture 23. Moduli spaces of shtukas 215
27. Lecture 24. Local Shimura varieties 225
28. Lecture 25. Integral models of local Shimura varieties 232
29. Bibliography 241
30. Index 249