p-adic differential equations /

p-adic differential equations /

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Bibliographic Details
Author / Creator:	Kedlaya, Kiran Sridhara, 1974- author.
Edition:	Second edition.
Imprint:	Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.
Description:	xx, 496 pages ; 24 cm.
Language:	English
Series:	Cambridge studies in advanced mathematics ; 199 Cambridge studies in advanced mathematics ; 199.
Subject:	p-adic analysis. Differential equations. Differential equations. p-adic analysis.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12759889

Hidden Bibliographic Details
ISBN:	9781009123341 1009123343 9781009275651 (PDF ebook)
Notes:	Includes bibliographical references and index.
Summary:	"Now in its second edition, this volume provides a uniquely detailed study of p-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of p-adic geometry, crystalline cohomology, p-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of p-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon"--
Other form:	ebook version : 9781009275651

Eckhart

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Call Number:	QA241.K43 2022
c.1	Available Loan period: standard loan Request for Pickup Need help? - Ask a Librarian