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Perfectoid spaces : lectures from the 2017 Arizona Winter School / Bhargav Bhatt [and 3 others] ; with an introduction by Peter Scholze ; Bryden Cais, editor.
Author
Arizona Winter School on Perfectoid Spaces (20th : 2017 : Tucson, Ariz.)
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Format
Book
Language
English
Published/Created
Providence, Rhode Island : American Mathematical Society, [2019]
©2019
Description
xii, 297 pages : illustrations ; 27 cm.
Availability
Available Online
Mathematical surveys and monographs 2019-present
Mathematical Surveys and Monographs - 2019
Mathematical Surveys and Monographs - 2019
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA247 .A75 2017
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Details
Subject(s)
Topological fields
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Author
Bhatt, Bhargav, 1983-
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Related name
Scholze, Peter
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Editor
Cais, Bryden
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Library of Congress genre(s)
Conference papers and proceedings
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Getty AAT genre
proceedings (reports)
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Series
Mathematical surveys and monographs ; no. 242.
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Mathematical surveys and monographs ; volume 242
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Summary note
Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic p, and have been used to solve many important problems, including cases of the weight-monodromy conjecture and the association of Galois representations to torsion classes in cohomology. This book, originating from a series of lectures given at the 2017 Arizona Winter School on perfectoid spaces, provides a broad introduction to the subject. After an introduction with insight into the history and future of the subject by Peter Scholze, Jared Weinstein gives a user-friendly and utilitarian account of the theory of adic spaces. Kiran Kedlaya further develops the foundational material, studies vector bundles on Fargues–Fontaine curves, and introduces diamonds and shtukas over them with a view toward the local Langlands correspondence. Bhargav Bhatt explains the application of perfectoid spaces to comparison isomorphisms in p-adic Hodge theory. Finally, Ana Caraiani explains the application of perfectoid spaces to the construction of Galois representations associated to torsion classes in the cohomology of locally symmetric spaces for the general linear group. -- Publisher's description.
Notes
Prepared for the twentieth Arizona Winter School on Perfectoid Spaces, held March 11-17, 2017, at the University of Arizona in Tucson.
Bibliographic references
Includes bibliographical references.
Contents
Preface / by Bryden Cais
Introduction / by Peter Scholze
Adic spaces / by Jared Weinstein
Sheaves, stacks, and shtukas / by Kiran S. Kedlaya
The Hodge-Tate decomposition via perfectoid spaces / by Bhargav Bhatt
Perfectoid Shimura varieties / by Ana Caraiani.
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ISBN
9781470450151 (hardcover : alkaline paper)
1470450151 (hardcover : alkaline paper)
LCCN
2019016582
OCLC
1099546301
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Perfectoid spaces : lectures from the 2017 Arizona Winter School / Bhargav Bhatt, Ana Caraiani, Kiran S. Kedlaya, Jared Weinstein ; with an Introduction by Peter Scholze ; Bryden Cais, editor.
id
99119630893506421
Perfectoid spaces : lectures from the 2017 Arizona Winter School / Bhargav Bhatt [and three others] ; with an Introduction by Peter Scholze ; Bryden Cais, editor.
id
99129035306006421