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Building Bridges Between Algebra and Topology, Wojciech Chach?lski; Tobias Dyckerhoff; John Green


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Автор: Wojciech Chach?lski; Tobias Dyckerhoff; John Green
Название:  Building Bridges Between Algebra and Topology
ISBN: 9783319701561
Издательство: Springer
Классификация:




ISBN-10: 3319701568
Обложка/Формат: Paperback
Вес: 0.39 кг.
Дата издания: 13.04.2018
Серия: Advanced Courses in Mathematics - CRM Barcelona
Язык: English
Издание: 1st ed. 2018
Иллюстрации: Xiii, 225 p.
Размер: 172 x 240 x 17
Читательская аудитория: Postgraduate, research & scholarly
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. Homological algebra is a rich and ubiquitous area; it is both an active field of research and a widespread toolbox for many mathematicians. Together, these notes introduce recent applications and interactions of homological methods in commutative algebra, representation theory and topology, narrowing the gap between specialists from different areas wishing to acquaint themselves with a rapidly growing field. The covered topics range from a fresh introduction to the growing area of support theory for triangulated categories to the striking consequences of the formulation in the homotopy theory of classical concepts in commutative algebra. Moreover, they also include a higher categories view of Hall algebras and an introduction to the use of idempotent functors in algebra and topology.
Дополнительное описание: Higher Categorical Aspects of Hall Algebras.- Support Theory for Triangulated Categories.- Homotopy Invariant Commutative Algebra over Fields.- Idempotent Symmetries in Algebra and Topology.



Connections Between Algebra, Combinatorics, and Geometry

Автор: Susan M. Cooper; Sean Sather-Wagstaff
Название: Connections Between Algebra, Combinatorics, and Geometry
ISBN: 1493906259 ISBN-13(EAN): 9781493906253
Издательство: Springer
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Цена: 25155.00 р.
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Connections Between Algebra, Combinatorics, and Geometry

Автор: Susan M. Cooper; Sean Sather-Wagstaff
Название: Connections Between Algebra, Combinatorics, and Geometry
ISBN: 1493948318 ISBN-13(EAN): 9781493948314
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra, Combinatorics, and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2-3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University, February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection.--

Computational topology

Автор: Edelsbrunner , Herbe
Название: Computational topology
ISBN: 0821849255 ISBN-13(EAN): 9780821849255
Издательство: Mare Nostrum (Eurospan)
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Цена: 8704.00 р.
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Описание: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. It covers motivating problems in both mathematics and computer science. Building up from classic topics in geometric and algebraic topology, it covers persistent homology.

Topology of Stratified Spaces

Автор: Friedman
Название: Topology of Stratified Spaces
ISBN: 1107459478 ISBN-13(EAN): 9781107459472
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: Appearance of singularities is pervasive in many problems in topology, differential geometry and algebraic geometry. This book concerns the study of singular spaces using techniques from a variety of areas of geometry and topology and the interactions among them.

Symplectic Topology and Floer Homology

Автор: Oh
Название: Symplectic Topology and Floer Homology
ISBN: 1107109671 ISBN-13(EAN): 9781107109674
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: Published in two volumes, this is the first book to provide a systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory.

Symplectic Topology and Floer Homology

Автор: Oh
Название: Symplectic Topology and Floer Homology
ISBN: 110707245X ISBN-13(EAN): 9781107072459
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: Published in two volumes, this is the first book to provide a systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov`s pseudoholomorphic curve theory.

Geometry, Topology, and Dynamics in Negative Curvature

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Цена: 11405.00 р.
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.

Topology-Based Methods in Visualization II

Автор: Hans-Christian Hege; Konrad Polthier; Gerik Scheue
Название: Topology-Based Methods in Visualization II
ISBN: 3540886052 ISBN-13(EAN): 9783540886051
Издательство: Springer
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Цена: 16070.00 р.
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Описание: Visualization research aims at providing insight into large, complicated data. Topological methods stand out by their solid mathematical ground guiding the algorithmic analysis and its presentation among the various visualization techniques. This book contains papers from the second workshop on `Topology-Based Methods in Visualization`.

Topology for computing

Автор: Zomorodian
Название: Topology for computing
ISBN: 0521136091 ISBN-13(EAN): 9780521136099
Издательство: Cambridge Academ
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Цена: 8237.00 р.
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Описание: This book presents the basic concepts from the emerging field of computational topology that combines topology theory with the power of computing to solve problems in diverse fields. Written from a computer science perspective, the book enables non-specialists to grasp the ideas and so participate in current research in computational topology.

Topology, Geometry and Gauge fields

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Combinatorial methods in topology and algebra

Название: Combinatorial methods in topology and algebra
ISBN: 3319201549 ISBN-13(EAN): 9783319201542
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,`` which was held in Cortona in September 2013.

Combinatorial Methods in Topology and Algebra

Автор: Bruno Benedetti; Emanuele Delucchi; Luca Moci
Название: Combinatorial Methods in Topology and Algebra
ISBN: 3319369989 ISBN-13(EAN): 9783319369983
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,`` which was held in Cortona in September 2013.


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