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p-adic differential equations /

Kedlaya, Kiran Sridhara, (1974-)

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p-adic differential equations /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	p-adic differential equations // Kiran S. Kedlaya.
Author:	Kedlaya, Kiran Sridhara,
Published:	Cambridge ;Cambridge University Press, : 2010.,
Description:	xvii, 380 p. :ill. ;24 cm.
[NT 15003449]:	Norms on algebraic structures -- Newton polygons -- Ramification theory -- Matrix analysis -- Formalism of differential algebra -- Metric properties of differential modules -- Regular singularities -- Rings of functions on discs and annuli -- Radius and generic radius of convergence -- Frobenius pullback and pushforward -- Variation of generic and subsidiary radii -- Decomposition by subsidiary radii -- p-adic exponents -- Formalism of difference algebra -- Frobenius modules -- Frobenius modules over the Robba ring -- Frobenius structures on differential modules -- Effective convergence bounds -- Galois representations and differential modules -- The p-adic local monodromy theorem -- The p-adic local monodromy theorem: proof -- Picard-Fuchs modules -- Rigid cohomology -- p-adic Hodge theory.
Subject:	p-adic analysis. -
Online resource:	http://www.loc.gov/catdir/enhancements/fy1006/2010004489-t.html
Online resource:	http://www.loc.gov/catdir/enhancements/fy1006/2010004489-d.html
Online resource:	http://www.loc.gov/catdir/enhancements/fy1006/2010004489-b.html
ISBN:	9780521768795 (hardback) :

p-adic differential equations /
Kedlaya, Kiran Sridhara,1974-

p-adic differential equations /Kiran S. Kedlaya. - Cambridge ;Cambridge University Press,2010. - xvii, 380 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;125. - Cambridge studies in advanced mathematics ;117..

Includes bibliographical references (p. 365-373) and index.

Norms on algebraic structures -- Newton polygons -- Ramification theory -- Matrix analysis -- Formalism of differential algebra -- Metric properties of differential modules -- Regular singularities -- Rings of functions on discs and annuli -- Radius and generic radius of convergence -- Frobenius pullback and pushforward -- Variation of generic and subsidiary radii -- Decomposition by subsidiary radii -- p-adic exponents -- Formalism of difference algebra -- Frobenius modules -- Frobenius modules over the Robba ring -- Frobenius structures on differential modules -- Effective convergence bounds -- Galois representations and differential modules -- The p-adic local monodromy theorem -- The p-adic local monodromy theorem: proof -- Picard-Fuchs modules -- Rigid cohomology -- p-adic Hodge theory.

"Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study"--Provided by publisher.

ISBN: 9780521768795 (hardback) :US75.00

LCCN: 2010004489

Nat. Bib. No.: GBB039433bnb

Nat. Bib. Agency Control No.: 015510910UkSubjects--Topical Terms:

628821
p-adic analysis.

LC Class. No.: QA241 / .K43 2010

Dewey Class. No.: 512.7/4

p-adic differential equations /
LDR:02958cam 2200313 a 4500 001 975123
003 DLC
005 20101018151725.0
008 111017s2010 enka b 001 0 eng
010 $a 2010004489
015 $a GBB039433 $2 bnb
016 7 $a 015510910 $2 Uk
020 $a 9780521768795 (hardback) : $c US75.00
020 $a 0521768799 (hardback)
035 $a (OCoLC)ocn503072990
035 $a AS-BW-100-N-01
040 $a DLC $c DLC $d YDX $d BTCTA $d UKM $d YDXCP $d BWK $d CDX $d BWX $d IXA $d IUL $d DLC
050 0 0 $a QA241 $b .K43 2010
082 0 0 $a 512.7/4 $2 22
100 1 $a Kedlaya, Kiran Sridhara, $d 1974- $3 1299036
245 1 0 $a p-adic differential equations / $c Kiran S. Kedlaya.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2010.
300 $a xvii, 380 p. : $b ill. ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 125
504 $a Includes bibliographical references (p. 365-373) and index.
505 0 # $a Norms on algebraic structures -- Newton polygons -- Ramification theory -- Matrix analysis -- Formalism of differential algebra -- Metric properties of differential modules -- Regular singularities -- Rings of functions on discs and annuli -- Radius and generic radius of convergence -- Frobenius pullback and pushforward -- Variation of generic and subsidiary radii -- Decomposition by subsidiary radii -- p-adic exponents -- Formalism of difference algebra -- Frobenius modules -- Frobenius modules over the Robba ring -- Frobenius structures on differential modules -- Effective convergence bounds -- Galois representations and differential modules -- The p-adic local monodromy theorem -- The p-adic local monodromy theorem: proof -- Picard-Fuchs modules -- Rigid cohomology -- p-adic Hodge theory.
520 # $a "Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study"--Provided by publisher.
520 # $a "Although the very existence of a highly developed theory of p-adic ordinary differential equations is not entirely well known even within number theory, the subject is actually almost 50 years old. Here are circumstances, past and present, in which it arises"-- Provided by publisher.
650 # 0 $a p-adic analysis. $3 628821
650 # 0 $a Differential equations. $3 517952
830 0 $a Cambridge studies in advanced mathematics ; $v 117. $3 1232927
856 4 1 $3 Table of contents only $u http://www.loc.gov/catdir/enhancements/fy1006/2010004489-t.html
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/enhancements/fy1006/2010004489-d.html
856 4 2 $3 Contributor biographical information $u http://www.loc.gov/catdir/enhancements/fy1006/2010004489-b.html