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Perfectoid spaces

Banerjee, Debargha.

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Perfectoid spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Perfectoid spaces/ edited by Debargha Banerjee ... [et al.].
other author:	Banerjee, Debargha.
Published:	Singapore :Springer Nature Singapore : : 2022.,
Description:	ix, 389 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Forms, Modular - Congresses. -
Online resource:	https://doi.org/10.1007/978-981-16-7121-0
ISBN:	9789811671210

Perfectoid spaces
Perfectoid spaces[electronic resource] /edited by Debargha Banerjee ... [et al.]. - Singapore :Springer Nature Singapore :2022. - ix, 389 p. :ill., digital ;24 cm. - Infosys science foundation series in mathematical sciences,2364-4044. - Infosys science foundation series in mathematical sciences..

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:

523780
Forms, Modular
--Congresses.

LC Class. No.: QA243 / .P47 2022

Dewey Class. No.: 512.73

Perfectoid spaces
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300 $a ix, 389 p. : $b ill., digital ; $c 24 cm.
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520 $a 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.
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