Surveys in Combinatorics 2021

Surveys in Combinatorics 2021 PDF 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.

Surveys in Combinatorics 2021

Surveys in Combinatorics 2021 PDF 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.

Surveys in Combinatorics 2024

Surveys in Combinatorics 2024 PDF Author: Felix Fischer
Publisher: Cambridge University Press
ISBN: 1009490532
Category : Mathematics
Languages : en
Pages : 305

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Book Description
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.

Surveys in Combinatorics 2022

Surveys in Combinatorics 2022 PDF 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.

Bounded Cohomology and Simplicial Volume

Bounded Cohomology and Simplicial Volume PDF Author: Caterina Campagnolo
Publisher: Cambridge University Press
ISBN: 100919271X
Category : Mathematics
Languages : en
Pages : 172

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Book Description
Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field.

Facets of Algebraic Geometry

Facets of Algebraic Geometry PDF Author: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108792510
Category : Mathematics
Languages : en
Pages : 395

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Book Description
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Maurer–Cartan Methods in Deformation Theory

Maurer–Cartan Methods in Deformation Theory PDF Author: Vladimir Dotsenko
Publisher: Cambridge University Press
ISBN: 1108965644
Category : Mathematics
Languages : en
Pages : 187

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Book Description
Covering an exceptional range of topics, this text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.

Recent Developments in Algebraic Geometry

Recent Developments in Algebraic Geometry PDF Author: Hamid Abban
Publisher: Cambridge University Press
ISBN: 1009190822
Category : Mathematics
Languages : en
Pages : 368

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Book Description
Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.

Modern Trends in Algebra and Representation Theory

Modern Trends in Algebra and Representation Theory PDF Author: David Jordan
Publisher: Cambridge University Press
ISBN: 1009097350
Category : Mathematics
Languages : en
Pages : 407

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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.

Stacks Project Expository Collection

Stacks Project Expository Collection PDF 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.

Equivariant Topology and Derived Algebra

Equivariant Topology and Derived Algebra PDF Author: Scott Balchin
Publisher: Cambridge University Press
ISBN: 1108931944
Category : Mathematics
Languages : en
Pages : 357

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Book Description
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.