Author: Lenny Taelman
Publisher: Cambridge University Press
ISBN: 1316502597
Category : Mathematics
Languages : en
Pages : 132
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Book Description
Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.
Author: David Jordan
Publisher: Cambridge University Press
ISBN: 1009103474
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Author: Konrad K. Dabrowski
Publisher: Cambridge University Press
ISBN: 1009018884
Category : Mathematics
Languages : en
Pages : 379
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Book Description
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author: Fosco Loregian
Publisher: Cambridge University Press
ISBN: 1108746128
Category : Mathematics
Languages : en
Pages : 331
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Book Description
This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.
Author: Áurea Casinhas Quintino
Publisher: Cambridge University Press
ISBN: 110888220X
Category : Mathematics
Languages : en
Pages : 262
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Book Description
From Bäcklund to Darboux, this monograph presents a comprehensive journey through the transformation theory of constrained Willmore surfaces, a topic of great importance in modern differential geometry and, in particular, in the field of integrable systems in Riemannian geometry. The first book on this topic, it discusses in detail a spectral deformation, Bäcklund transformations and Darboux transformations, and proves that all these transformations preserve the existence of a conserved quantity, defining, in particular, transformations within the class of constant mean curvature surfaces in 3-dimensional space-forms, with, furthermore, preservation of both the space-form and the mean curvature, and bridging the gap between different approaches to the subject, classical and modern. Clearly written with extensive references, chapter introductions and self-contained accounts of the core topics, it is suitable for newcomers to the theory of constrained Wilmore surfaces. Many detailed computations and new results unavailable elsewhere in the literature make it also an appealing reference for experts.
Author: Joppe Bos
Publisher: Cambridge University Press
ISBN: 1108795935
Category : Language Arts & Disciplines
Languages : en
Pages : 400
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Book Description
A guide to cryptanalysis and the implementation of cryptosystems, written for students and security engineers by leading experts.
Author: Pieter Belmans
Publisher: Cambridge University Press
ISBN: 1009063286
Category : Mathematics
Languages : en
Pages : 308
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Book Description
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne–Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.
Author: Anthony Nixon
Publisher: Cambridge University Press
ISBN: 1009096222
Category : Mathematics
Languages : en
Pages : 257
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Book Description
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author: Aurelian Gheondea
Publisher: Cambridge University Press
ISBN: 1108969038
Category : Mathematics
Languages : en
Pages : 511
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Book Description
Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.
Author: Caterina Campagnolo
Publisher: Cambridge University Press
ISBN: 100918329X
Category : Mathematics
Languages : en
Pages : 171
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Book Description
An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.
