p-adic Differential Equations (Hardcover, 2nd Revised edition)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Studies in Advanced Mathematics
Release date:	June 2022
Authors:	Kiran S. Kedlaya
Dimensions:	235 x 157 x 33mm (L x W x T)
Format:	Hardcover
Pages:	420
Edition:	2nd Revised edition
ISBN-13:	978-1-00-912334-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	1-00-912334-3
Barcode:	9781009123341

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