New Trends In Noncommutative Algebra
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Author |
: Ara, Pere |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 326 |
Release |
: 2012 |
ISBN-10 |
: 9780821852972 |
ISBN-13 |
: 0821852973 |
Rating |
: 4/5 (72 Downloads) |
Synopsis New Trends in Noncommutative Algebra by : Ara, Pere
This volume contains the proceedings of the conference `New Trends in Noncommutative Algebra', held at the University of Washington, Seattle, in August 2010. The articles will provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Calabi-Yau algebras, quantum algebras and deformation quantization, Poisson algebras, group algebras, and noncommutative Iwasawa algebras.
Author |
: Gwyn Bellamy |
Publisher |
: Cambridge University Press |
Total Pages |
: 367 |
Release |
: 2016-06-20 |
ISBN-10 |
: 9781107129542 |
ISBN-13 |
: 1107129540 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Noncommutative Algebraic Geometry by : Gwyn Bellamy
This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.
Author |
: K. A. Brown |
Publisher |
: American Mathematical Society |
Total Pages |
: 288 |
Release |
: 2024-05-30 |
ISBN-10 |
: 9781470472399 |
ISBN-13 |
: 1470472392 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Recent Advances in Noncommutative Algebra and Geometry by : K. A. Brown
This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday. The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory. In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.
Author |
: Luchezar L. Avramov |
Publisher |
: Springer |
Total Pages |
: 256 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540459941 |
ISBN-13 |
: 3540459944 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Algebra. Some Current Trends by : Luchezar L. Avramov
Author |
: Svetlana Cojocaru |
Publisher |
: IOS Press |
Total Pages |
: 336 |
Release |
: 2005 |
ISBN-10 |
: 9781586035051 |
ISBN-13 |
: 1586035053 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Computational Commutative and Non-commutative Algebraic Geometry by : Svetlana Cojocaru
Author |
: Igor V. Nikolaev |
Publisher |
: Walter de Gruyter GmbH & Co KG |
Total Pages |
: 330 |
Release |
: 2017-11-07 |
ISBN-10 |
: 9783110543483 |
ISBN-13 |
: 3110543486 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Noncommutative Geometry by : Igor V. Nikolaev
This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliography, and a list of exercises is included. The presentation is intended for graduate students and researchers with interests in NCG, but will also serve nonexperts in the field. Contents Part I: Basics Model examples Categories and functors C∗-algebras Part II: Noncommutative invariants Topology Algebraic geometry Number theory Part III: Brief survey of NCG Finite geometries Continuous geometries Connes geometries Index theory Jones polynomials Quantum groups Noncommutative algebraic geometry Trends in noncommutative geometry
Author |
: Andrea R. Nahmod |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 300 |
Release |
: 2012 |
ISBN-10 |
: 9780821869215 |
ISBN-13 |
: 0821869213 |
Rating |
: 4/5 (15 Downloads) |
Synopsis Recent Advances in Harmonic Analysis and Partial Differential Equations by : Andrea R. Nahmod
This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.
Author |
: Lewis Bowen |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 280 |
Release |
: 2012 |
ISBN-10 |
: 9780821869222 |
ISBN-13 |
: 0821869221 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Dynamical Systems and Group Actions by : Lewis Bowen
This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs.
Author |
: Andrew Ranicki |
Publisher |
: Cambridge University Press |
Total Pages |
: 332 |
Release |
: 2006-02-09 |
ISBN-10 |
: 052168160X |
ISBN-13 |
: 9780521681605 |
Rating |
: 4/5 (0X Downloads) |
Synopsis Noncommutative Localization in Algebra and Topology by : Andrew Ranicki
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.
Author |
: Valery Alexeev |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 264 |
Release |
: 2012 |
ISBN-10 |
: 9780821868997 |
ISBN-13 |
: 0821868993 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Compact Moduli Spaces and Vector Bundles by : Valery Alexeev
This book contains the proceedings of the conference on Compact Moduli and Vector Bundles, held from October 21-24, 2010, at the University of Georgia. This book is a mix of survey papers and original research articles on two related subjects: Compact Moduli spaces of algebraic varieties, including of higher-dimensional stable varieties and pairs, and Vector Bundles on such compact moduli spaces, including the conformal block bundles. These bundles originated in the 1970s in physics; the celebrated Verlinde formula computes their ranks. Among the surveys are those that examine compact moduli spaces of surfaces of general type and others that concern the GIT constructions of log canonical models of moduli of stable curves. The original research articles include, among others, papers on a formula for the Chern classes of conformal classes of conformal block bundles on the moduli spaces of stable curves, on Looijenga's conjectures, on algebraic and tropical Brill-Noether theory, on Green's conjecture, on rigid curves on moduli of curves, and on Steiner surfaces.