Perfectoid spaces
by Banerjee, Debargha Chaudhuri, Chitrabhanu De Shalit, Ehud Kedlaya, Kiran Sridhara
This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on "Perfectoid Spaces" held at the International Centre for Theoretical Sciences, Bengaluru, India, from 920 September 2019. The objective of the book is to give an advanced introduction to Scholzes theory and understand the relation between perfectoid spaces and some aspects of arithmet…
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- Full title :Perfectoid spaces / Debargha Banerjee, Kiran S. Kedlaya, Ehud de Shalit, Chitrabhanu Chaudhuri, editors.
Summary
This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on "Perfectoid Spaces" held at the International Centre for Theoretical Sciences, Bengaluru, India, from 920 September 2019. The objective of the book is to give an advanced introduction to Scholzes theory and understand the relation between perfectoid spaces and some aspects of arithmetic of modular (or, more generally, automorphic) forms such as representations mod p, lifting of modular forms, completed cohomology, local Langlands program, and special values of L-functions. All chapters are contributed by experts in the area of arithmetic geometry that will facilitate future research in the direction
Read More ↓Edition Statements
- Publication Date:2022.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Singapore
- Language:eng
- Publication Date:2022.
The Physical Object
- Description:1 online resource (395 pages)
Edition Identifiers
- ISBN:9789811671210, 9811671214
- DOI:10.1007/978-981-16-7121-0
- oclc:on1313897776
- LC Classification:QA243
- Dewey Decimal:512.7/3
Table of Contents
On Lattices in Modular -Modules -- The Relative (De- )Perfectoidification Functor and Motivic P-Adic Cohomologies -- Diagrams and Mod p Representations of p-Adic Groups -- A Short Review on Local Shtukas and Divisible Local Anderson Modules -- An Introduction to p-Adic Hodge Theory -- Perfectoid Spaces: An Annotated Bibliography -- The FarguesFontaine Curve and p-Adichodgetheory -- Simplicial Galois Deformation Functors.
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