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Perfectoid Spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Perfectoid Spaces/ edited by Debargha Banerjee, Kiran S. Kedlaya, Ehud de Shalit, Chitrabhanu Chaudhuri.
其他作者:	Banerjee, Debargha.
面頁冊數:	IX, 389 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic geometry. -
電子資源:	https://doi.org/10.1007/978-981-16-7121-0
ISBN:	9789811671210

Perfectoid Spaces
Perfectoid Spaces[electronic resource] /edited by Debargha Banerjee, Kiran S. Kedlaya, Ehud de Shalit, Chitrabhanu Chaudhuri. - 1st ed. 2022. - IX, 389 p.online resource. - Infosys Science Foundation Series in Mathematical Sciences,2364-4044. - Infosys Science Foundation Series in Mathematical Sciences,.

On ψ-Lattices in Modular (φ, Γ)-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.

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.

ISBN: 9789811671210

Standard No.: 10.1007/978-981-16-7121-0doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Perfectoid Spaces
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