Symplectic Geometry, Groupoids, and Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symplectic Geometry, Groupoids, and Integrable Systems write by Pierre Dazord. This book was released on 2012-12-06. Symplectic Geometry, Groupoids, and Integrable Systems available in PDF, EPUB and Kindle. The papers, some of which are in English, the rest in French, in this volume are based on lectures given during the meeting of the Seminare Sud Rhodanien de Geometrie (SSRG) organized at the Mathematical Sciences Research Institute in 1989. The SSRG was established in 1982 by geometers and mathematical physicists with the aim of developing and coordinating research in symplectic geometry and its applications to analysis and mathematical physics. Among the subjects discussed at the meeting, a special role was given to the theory of symplectic groupoids, the subject of fruitful collaboration involving geometers from Berkeley, Lyon, and Montpellier.
Geometric Models for Noncommutative Algebras
Geometric Models for Noncommutative Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Models for Noncommutative Algebras write by Ana Cannas da Silva. This book was released on 1999. Geometric Models for Noncommutative Algebras available in PDF, EPUB and Kindle. The volume is based on a course, ``Geometric Models for Noncommutative Algebras'' taught by Professor Weinstein at Berkeley. Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, for example, the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this work, the authors discuss several types of geometric objects (in the usual sense of sets with structure) that are closely related to noncommutative algebras. Central to the discussion are symplectic and Poisson manifolds, which arise when noncommutative algebras are obtained by deforming commutative algebras. The authors also give a detailed study of groupoids (whose role in noncommutative geometry has been stressed by Connes) as well as of Lie algebroids, the infinitesimal approximations to differentiable groupoids. Featured are many interesting examples, applications, and exercises. The book starts with basic definitions and builds to (still) open questions. It is suitable for use as a graduate text. An extensive bibliography and index are included.
The Breadth of Symplectic and Poisson Geometry
The Breadth of Symplectic and Poisson Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Breadth of Symplectic and Poisson Geometry write by Jerrold E. Marsden. This book was released on 2007-07-03. The Breadth of Symplectic and Poisson Geometry available in PDF, EPUB and Kindle. * The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics
Lectures on the Geometry of Quantization
Lectures on the Geometry of Quantization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on the Geometry of Quantization write by Sean Bates. This book was released on 1997. Lectures on the Geometry of Quantization available in PDF, EPUB and Kindle. These notes are based on a course entitled ``Symplectic Geometry and Geometric Quantization'' taught by Alan Weinstein at the University of California, Berkeley (fall 1992) and at the Centre Emile Borel (spring 1994). The only prerequisite for the course needed is a knowledge of the basic notions from the theory of differentiable manifolds (differential forms, vector fields, transversality, etc.). The aim is to give students an introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role these ideas play in formalizing the transition between the mathematics of classical dynamics (hamiltonian flows on symplectic manifolds) and quantum mechanics (unitary flows on Hilbert spaces). These notes are meant to function as a guide to the literature. The authors refer to other sources for many details that are omitted and can be bypassed on a first reading.
Geometric, Algebraic and Topological Methods for Quantum Field Theory
Geometric, Algebraic and Topological Methods for Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric, Algebraic and Topological Methods for Quantum Field Theory write by Sylvie Payche. This book was released on 2014. Geometric, Algebraic and Topological Methods for Quantum Field Theory available in PDF, EPUB and Kindle. Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory. This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.
