New Trends in Noncommutative Algebra

New Trends in Noncommutative Algebra PDF Author: Ara, Pere
Publisher: American Mathematical Soc.
ISBN: 0821852973
Category : Mathematics
Languages : en
Pages : 326

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Book Description
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.

New Trends in Noncommutative Algebra

New Trends in Noncommutative Algebra PDF Author: Ara, Pere
Publisher: American Mathematical Soc.
ISBN: 0821852973
Category : Mathematics
Languages : en
Pages : 326

Get Book Here

Book Description
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.

Noncommutative Algebraic Geometry

Noncommutative Algebraic Geometry PDF Author: Gwyn Bellamy
Publisher: Cambridge University Press
ISBN: 1107129540
Category : Mathematics
Languages : en
Pages : 367

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Book Description
This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.

Recent Advances in Noncommutative Algebra and Geometry

Recent Advances in Noncommutative Algebra and Geometry PDF Author: K. A. Brown
Publisher: American Mathematical Society
ISBN: 1470472392
Category : Mathematics
Languages : en
Pages : 288

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Book Description
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.

Moduli Spaces and Vector Bundles—New Trends

Moduli Spaces and Vector Bundles—New Trends PDF Author: Peter Gothen
Publisher: American Mathematical Society
ISBN: 1470472961
Category : Mathematics
Languages : en
Pages : 382

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Book Description
This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.

Computational Commutative and Non-commutative Algebraic Geometry

Computational Commutative and Non-commutative Algebraic Geometry PDF Author: Svetlana Cojocaru
Publisher: IOS Press
ISBN: 1586035053
Category : Electronic books
Languages : en
Pages : 336

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Book Description


Recent Advances in Harmonic Analysis and Partial Differential Equations

Recent Advances in Harmonic Analysis and Partial Differential Equations PDF Author: Andrea R. Nahmod
Publisher: American Mathematical Soc.
ISBN: 0821869213
Category : Mathematics
Languages : en
Pages : 300

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Book Description
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.

Dynamical Systems and Group Actions

Dynamical Systems and Group Actions PDF Author: Lewis Bowen
Publisher: American Mathematical Soc.
ISBN: 0821869221
Category : Mathematics
Languages : en
Pages : 280

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Book Description
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.

Noncommutative Localization in Algebra and Topology

Noncommutative Localization in Algebra and Topology PDF Author: Andrew Ranicki
Publisher: Cambridge University Press
ISBN: 9780521681605
Category : Mathematics
Languages : en
Pages : 332

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Book Description
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.

Compact Moduli Spaces and Vector Bundles

Compact Moduli Spaces and Vector Bundles PDF Author: Valery Alexeev
Publisher: American Mathematical Soc.
ISBN: 0821868993
Category : Mathematics
Languages : en
Pages : 264

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Book Description
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.

Analytic and Algebraic Geometry

Analytic and Algebraic Geometry PDF Author: Anilatmaja Aryasomayajula
Publisher: Springer
ISBN: 981105648X
Category : Mathematics
Languages : en
Pages : 294

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Book Description
This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.