Noncommutative Homological Mirror Functor, Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau
Автор: Bocklandt Raf Название: A Gentle Introduction to Homological Mirror Symmetry ISBN: 1108728758 ISBN-13(EAN): 9781108728751 Издательство: Cambridge University Press Рейтинг: Цена: 9293.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originating in mathematical physics, homological mirror symmetry reveals deep connections between different areas of geometry and algebra. This book, which is aimed at graduate students, offers a self-contained and accessible introduction to the subject from the perspective of representation theory of algebras and quivers.
Автор: Bocklandt Raf Название: A Gentle Introduction to Homological Mirror Symmetry ISBN: 110848350X ISBN-13(EAN): 9781108483506 Издательство: Cambridge University Press Рейтинг: Цена: 25553.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originating in mathematical physics, homological mirror symmetry reveals deep connections between different areas of geometry and algebra. This book, which is aimed at graduate students, offers a self-contained and accessible introduction to the subject from the perspective of representation theory of algebras and quivers.
Название: Homological mirror symmetry and tropical geometry ISBN: 3319065130 ISBN-13(EAN): 9783319065137 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.
Автор: Grandis Marco Название: Homological Algebra: In Strongly Non-Abelian Settings ISBN: 9814425915 ISBN-13(EAN): 9789814425919 Издательство: World Scientific Publishing Рейтинг: Цена: 16790.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on 'Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups', published by the same Editor, but can be read independently of the latter.The previous book develops homological algebra in p-exact categories, i.e. exact categories in the sense of Puppe and Mitchell -- a moderate generalisation of abelian categories that is nevertheless crucial for a theory of 'coherence' and 'universal models' of (even abelian) homological algebra. The main motivation of the present, much wider extension is that the exact sequences or spectral sequences produced by unstable homotopy theory cannot be dealt with in the previous framework.According to the present definitions, a semiexact category is a category equipped with an ideal of 'null' morphisms and provided with kernels and cokernels with respect to this ideal. A homological category satisfies some further conditions that allow the construction of subquotients and induced morphisms, in particular the homology of a chain complex or the spectral sequence of an exact couple.Extending abelian categories, and also the p-exact ones, these notions include the usual domains of homology and homotopy theories, e.g. the category of 'pairs' of topological spaces or groups; they also include their codomains, since the sequences of homotopy 'objects' for a pair of pointed spaces or a fibration can be viewed as exact sequences in a homological category, whose objects are actions of groups on pointed sets.
This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today’s mathematical landscape. This connection has been fruitful to both areas—representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study.The six mini-courses comprising this text were delivered March 7–18, 2016 at a CIMPA (Centre International de Math?matiques Pures et Appliqu?es) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck.
The courses held were:
Advanced homological algebra Introduction to the representation theory of algebras Auslander-Reiten theory for algebras of infinite representation type Cluster algebras arising from surfaces Cluster tilted algebras Cluster characters Introduction to K-theory Brauer graph algebras and applications to cluster algebras
Автор: Lal Ramji Название: Algebra 3: Homological Algebra and Its Applications ISBN: 9813363282 ISBN-13(EAN): 9789813363281 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.
Автор: M. Scott Osborne Название: Basic Homological Algebra ISBN: 038798934X ISBN-13(EAN): 9780387989341 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; [...] one is quickly able to find necessary details." EMS Newsletter
Описание: This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras.
Описание: These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled 'Groups, Representations, and Cohomology' and held from June 22 to June 27, 2015 at Sabhal M?r Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of 'Geometric Methods in the Representation Theory of Finite Groups' and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016.
The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research.
Автор: Andre Leroy, Ashish K. Srivastava, Ivo Herzog, Pedro A. Guil Asensio Название: Categorical, Homological and Combinatorial Methods in Algebra ISBN: 1470443686 ISBN-13(EAN): 9781470443689 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 16909.00 р. Наличие на складе: Поставка под заказ.
Описание: Contains the proceedings of the AMS Special Session, in honour of S.K. Jain`s 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held in March 12018, at Ohio State University. The articles presented showcase the current state of art in categorical, homological and combinatorial aspects of algebra.
Автор: Enochs Edgar E., Jenda Overtoun M. G. Название: Relative Homological Algebra ISBN: 3110215225 ISBN-13(EAN): 9783110215229 Издательство: Walter de Gruyter Рейтинг: Цена: 61153.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves as a bridge between the traditional texts on homological algebra and more advanced topics such as triangulated and derived categories or model category structures. It addresses to readers who have had a course in classical homological algebra, as well as to researchers.
Автор: Badawi Название: Homological and Combinatorial Methods in Algebra ISBN: 3319741942 ISBN-13(EAN): 9783319741949 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on the 4th Seminar on Algebra and its Applications organized by the University of Mohaghegh Ardabili, this volume highlights recent developments and trends in algebra and its applications.
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