Perfectoid Spaces
Series: Infosys Science Foundation Series;
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Product details:
- Edition number 1st ed. 2022
- Publisher Springer
- Date of Publication 23 April 2023
- Number of Volumes 1 pieces, Book
- ISBN 9789811671234
- Binding Paperback
- No. of pages389 pages
- Size 235x155 mm
- Weight 611 g
- Language English
- Illustrations IX, 389 p. 506
Categories
Short description:
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 9?20 September 2019. The objective of the book is to give an advanced introduction to Scholze?s 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.
MoreLong description:
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 9?20 September 2019. The objective of the book is to give an advanced introduction to Scholze?s 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.
MoreTable 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 Fargues?Fontaine Curve and p-Adichodgetheory.- Simplicial Galois Deformation Functors.
