國立虎尾科技大學 |

Perfectoid Spaces

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Perfectoid Spaces/ edited by Debargha Banerjee, Kiran S. Kedlaya, Ehud de Shalit, Chitrabhanu Chaudhuri.
other author:	Banerjee, Debargha.
Description:	IX, 389 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	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
LDR:02715nam a22004095i 4500 001 1093029
003 DE-He213
005 20220421203059.0
007 cr nn 008mamaa
008 221228s2022 si | s |||| 0|eng d
020 $a 9789811671210 $9 978-981-16-7121-0
024 7 $a 10.1007/978-981-16-7121-0 $2 doi
035 $a 978-981-16-7121-0
050 4 $a QA564-609
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.35 $2 23
245 1 0 $a Perfectoid Spaces $h [electronic resource] / $c edited by Debargha Banerjee, Kiran S. Kedlaya, Ehud de Shalit, Chitrabhanu Chaudhuri.
250 $a 1st ed. 2022.
264 1 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2022.
300 $a IX, 389 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Infosys Science Foundation Series in Mathematical Sciences, $x 2364-4044
505 0 $a 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.
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.
650 0 $a Algebraic geometry. $3 1255324
650 0 $a Number theory. $3 527883
650 1 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Number Theory. $3 672023
700 1 $a Banerjee, Debargha. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1400898
700 1 $a Kedlaya, Kiran S. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1400899
700 1 $a de Shalit, Ehud. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1400900
700 1 $a Chaudhuri, Chitrabhanu. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1400901
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811671203
776 0 8 $i Printed edition: $z 9789811671227
776 0 8 $i Printed edition: $z 9789811671234
830 0 $a Infosys Science Foundation Series in Mathematical Sciences, $x 2364-4036 $3 1267855
856 4 0 $u https://doi.org/10.1007/978-981-16-7121-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)