MARC details
| 000 -LEADER |
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| fixed length control field |
02050 a2200229 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
201030b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691202082 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Item number |
SCH |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Scholze, Peter and |
| 245 ## - TITLE STATEMENT |
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| Title |
Berkeley lectures on ρ-adic geometry |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Princeton University Press, |
| Date of publication, distribution, etc |
2020. |
| Place of publication, distribution, etc |
New Jersey: |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
x, 250 p. : ill. ; |
| Other physical details |
pb; |
| Dimensions |
24 cm. |
| 365 ## - TRADE PRICE |
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| Price type code |
USD |
| Price amount |
75.00 |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Annals of Mathematics Studies; no. 207 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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 ρ-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a ρ-adic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores ρ-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including ρ-divisible groups, ρ-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. Berkeley Lectures on ρ-adic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
p-Adic Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Arithmetical- Algebraic - Geometry |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Weinstein, Jared |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Item type |
Books |
