Triangulated Categories in Representation Theory and Beyond

Triangulated Categories in Representation Theory and Beyond PDF Author: Petter Andreas Bergh
Publisher: Springer Nature
ISBN: 3031577892
Category :
Languages : en
Pages : 275

Get Book Here

Book Description

Triangulated Categories in Representation Theory and Beyond

Triangulated Categories in Representation Theory and Beyond PDF Author: Petter Andreas Bergh
Publisher: Springer Nature
ISBN: 3031577892
Category :
Languages : en
Pages : 275

Get Book Here

Book Description


Representation Theory and Beyond

Representation Theory and Beyond PDF Author: Jan Šťovíček
Publisher: American Mathematical Soc.
ISBN: 147045131X
Category : Education
Languages : en
Pages : 312

Get Book Here

Book Description
This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders PDF Author: Vic Kowalenko
Publisher: Cambridge University Press
ISBN: 9780521497985
Category : Mathematics
Languages : en
Pages : 146

Get Book Here

Book Description
This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.

Homological Theory of Representations

Homological Theory of Representations PDF Author: Henning Krause
Publisher: Cambridge University Press
ISBN: 1108985815
Category : Mathematics
Languages : en
Pages : 518

Get Book Here

Book Description
Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.

Handbook of Homotopy Theory

Handbook of Homotopy Theory PDF Author: Haynes Miller
Publisher: CRC Press
ISBN: 1351251600
Category : Mathematics
Languages : en
Pages : 1142

Get Book Here

Book Description
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.

Commutative Algebra

Commutative Algebra PDF Author: Marco Fontana
Publisher: Springer Science & Business Media
ISBN: 144196990X
Category : Mathematics
Languages : en
Pages : 491

Get Book Here

Book Description
Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures PDF Author: Rajendra Bhatia
Publisher: World Scientific
ISBN: 9814462934
Category : Mathematics
Languages : en
Pages : 4137

Get Book Here

Book Description
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

 PDF Author:
Publisher: World Scientific
ISBN:
Category :
Languages : en
Pages : 1191

Get Book Here

Book Description


Number Theory and Algebraic Geometry

Number Theory and Algebraic Geometry PDF Author: Miles Reid
Publisher: Cambridge University Press
ISBN: 9780521545181
Category : Mathematics
Languages : en
Pages : 312

Get Book Here

Book Description
This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.

The Homotopy Category of Simply Connected 4-Manifolds

The Homotopy Category of Simply Connected 4-Manifolds PDF Author: Hans J. Baues
Publisher: Cambridge University Press
ISBN: 9780521531030
Category : Mathematics
Languages : en
Pages : 204

Get Book Here

Book Description
Homotopy of 4-manifolds for researchers and graduate students.