Berkeley Lectures on p-adic Geometry : : (AMS-207) / / Peter Scholze, Jared Weinstein.
Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoi...
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| Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2020] ©2020 |
| Year of Publication: | 2020 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
207 |
| Online Access: | |
| Physical Description: | 1 online resource (264 p.) :; 5 b/w illus. |
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Table of Contents:
- Frontmatter
- Contents
- Foreword
- Lecture 1. Introduction
- Lecture 2. Adic spaces
- Lecture 3. Adic spaces II
- Lecture 4. Examples of adic spaces
- Lecture 5. Complements on adic spaces
- Lecture 6. Perfectoid rings
- Lecture 7. Perfectoid spaces
- Lecture 8. Diamonds
- Lecture 9. Diamonds II
- Lecture 10. Diamonds associated with adic spaces
- Lecture 11. Mixed-characteristic shtukas
- Lecture 12. Shtukas with one leg
- Lecture 13. Shtukas with one leg II
- Lecture 14. Shtukas with one leg III
- Lecture 15. Examples of diamonds
- Lecture 16. Drinfeld's lemma for diamonds
- Lecture 17. The v-topology
- Lecture 18. v-sheaves associated with perfect and formal schemes
- Lecture 19. The B+dR-affine Grassmannian
- Lecture 20. Families of affine Grassmannians
- Lecture 21. Affine flag varieties
- Lecture 22. Vector bundles and G-torsors on the relative Fargues-Fontaine curve
- Lecture 23. Moduli spaces of shtukas
- Lecture 24. Local Shimura varieties
- Lecture 25. Integral models of local Shimura varieties
- Bibliography
- Index