Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology, Reiner Hermann

Автор: Mac Lane
Название: Categories for the Working Mathematician
ISBN: 0387984038 ISBN-13(EAN): 9780387984032
Издательство: Springer
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Цена: 52130.00 T
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Описание: This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

Автор: Tony Pantev, Carlos Simpson, Bertrand Toen, Michel Vaquie, Gabriele Vezzosi
Название: Stacks and Categories in Geometry, Topology, and Algebra
ISBN: 1470415577 ISBN-13(EAN): 9781470415570
Издательство: Mare Nostrum (Eurospan)
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Цена: 104410.00 T
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Описание: This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France.Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains.Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way.

Автор: Th. De Pauw, R.M. Hardt, W.F. Pfeffer
Название: Homology of Normal Chains and Cohomology of Charges
ISBN: 1470423359 ISBN-13(EAN): 9781470423353
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: The authors consider a category of pairs of compact metric spaces and Lipschitz maps where the pairs satisfy a linearly isoperimetric condition related to the solvability of the Plateau problem with partially free boundary. It includes properly all pairs of compact Lipschitz neighbourhood retracts of a large class of Banach spaces.

Автор: Ballard
Название: Superschool on Derived Categories and D-branes
ISBN: 3319916254 ISBN-13(EAN): 9783319916255
Издательство: Springer
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Цена: 167700.00 T
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Описание: Abelian and Triangulated Categories (C. Hanratty).- Derived Categories and Derived Functors (N.K. Chidambaram).- Introduction to Quivers (M. Chinen).- Semi-orthogonal Decompositions of Derived Categories (Y. Liu).- Introduction to Bridgeland Stability Conditions (R. Tramel).- A Brief Introduction to Geometric Invariant Theory (N. Grieve).- Birational Geometry and Derived Categories (C. Diemer).- Introduction to Mirror Symmetry (R. Hughes).- Batyrev Mirror Symmetry (M. Talpo).- Differential Graded Categories (A.A. Takeda).- Introduction to Symplectic Geometry and Fukaya Category (A.Z. Zhang).- Homological Mirror Symmetry (A. Harder).- The Syz Conjecture Via Homological Mirror Symmetry (D. Bejleri).- The Derived Category of Coherent Sheaves and B-model Topological String Theory (S. Pietromonaco).- Introduction to Topological String Theories (K. Osuga).- An Overview of B-branes in Gauged Linear Sigma Models (N. Ishtiaque).

Автор: Haesemeyer Christian, Weibel Charles A.
Название: The Norm Residue Theorem in Motivic Cohomology
ISBN: 0691181829 ISBN-13(EAN): 9780691181820
Издательство: Wiley
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Цена: 172130.00 T
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This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of tale cohomology and its relation to motivic cohomology and Chow groups.

Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development. They proceed to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.

Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.

Автор: Haesemeyer Christian, Weibel Charles A.
Название: The Norm Residue Theorem in Motivic Cohomology
ISBN: 0691191042 ISBN-13(EAN): 9780691191041
Издательство: Wiley
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Цена: 79200.00 T
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Описание:

This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of tale cohomology and its relation to motivic cohomology and Chow groups.

Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development. They proceed to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.

Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.

Автор: Radoslav Dimitric
Название: Slenderness: Volume 1, Abelian Categories
ISBN: 110847442X ISBN-13(EAN): 9781108474429
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: Slenderness is a concept relevant to the fields of algebra, set theory, and topology. This first book on the subject is systematically presented and largely self-contained, making it ideal for researchers and graduate students. It provides over 350 exercises as well as many open problems to inspire further research.

Автор: Frank W. Anderson; Kent R. Fuller
Название: Rings and Categories of Modules
ISBN: 1461287634 ISBN-13(EAN): 9781461287636
Издательство: Springer
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Цена: 65170.00 T
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Описание: This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses.

Автор: Eva Gray; Horst Schubert
Название: Categories
ISBN: 3642653669 ISBN-13(EAN): 9783642653667
Издательство: Springer
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Цена: 79190.00 T
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Описание: Categorical methods of speaking and thinking are becoming more and more widespread in mathematics because they achieve a unifi- cation of parts of different mathematical fields; The purpose of this book is to introduce the reader to the central part of category theory and to make the literature accessible to the reader who wishes to go farther.

Автор: Alejandro Adem; R. James Milgram
Название: Cohomology of Finite Groups
ISBN: 3642057853 ISBN-13(EAN): 9783642057854
Издательство: Springer
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Цена: 88500.00 T
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Описание: Some Historical Background This book deals with the cohomology of groups, particularly finite ones. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field.

Автор: P. Ion; Jean-Pierre Serre
Название: Galois Cohomology
ISBN: 364263866X ISBN-13(EAN): 9783642638664
Издательство: Springer
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Цена: 65210.00 T
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Описание: This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

Автор: Vladimir Turaev; Alexis Virelizier
Название: Monoidal Categories and Topological Field Theory
ISBN: 3319498339 ISBN-13(EAN): 9783319498331
Издательство: Springer
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Цена: 130430.00 T
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This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research.