Tensor Categories, Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik

Автор: Mac Lane
Название: Categories for the Working Mathematician
ISBN: 0387984038 ISBN-13(EAN): 9780387984032
Издательство: Springer
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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: Reiner Hermann
Название: Monoidal Categories and the Gerstenhaber Bracket in Hochschild Cohomology
ISBN: 1470419955 ISBN-13(EAN): 9781470419950
Издательство: Mare Nostrum (Eurospan)
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Описание: "Volume 243, number 1151 (fourth of 4 numbers), September 2016."

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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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: Denis-Charles Cisinski
Название: Higher Categories and Homotopical Algebra
ISBN: 1108473202 ISBN-13(EAN): 9781108473200
Издательство: Cambridge Academ
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Описание: This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and Lurie. Starting from scratch it guides graduate students and researchers through the powerful tools that the theory provides for applications in such areas as algebraic geometry, representation theory, algebra and logic.

Автор: Radoslav Dimitric
Название: Slenderness: Volume 1, Abelian Categories
ISBN: 110847442X ISBN-13(EAN): 9781108474429
Издательство: Cambridge Academ
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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: Ballard
Название: Superschool on Derived Categories and D-branes
ISBN: 3319916254 ISBN-13(EAN): 9783319916255
Издательство: Springer
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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).