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