Lectures on Geometry

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Release : 2017-02-16
Genre : Science
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Book Rating : 815/5 ( reviews)

Lectures on 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 Lectures on Geometry write by Edward Witten. This book was released on 2017-02-16. Lectures on Geometry available in PDF, EPUB and Kindle. This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures. Although not explicitly linked, the topics in this inaugural volume have a common flavour and a common appeal to all who are interested in recent developments in geometry. They are intended to be accessible to all who work in this general area, regardless of their own particular research interests.

Lectures on the Geometry of Poisson Manifolds

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 958/5 ( reviews)

Lectures on the Geometry of Poisson Manifolds - 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 Poisson Manifolds write by Izu Vaisman. This book was released on 2012-12-06. Lectures on the Geometry of Poisson Manifolds available in PDF, EPUB and Kindle. This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is to provide the reader with a monograph that enables him to study systematically basic and advanced material on the recently developed theory of Poisson manifolds, and that also offers ready access to bibliographical references for the continuation of his study. Until now, most of this material was dispersed in research papers published in many journals and languages. The main subjects treated are the Schouten-Nijenhuis bracket; the generalized Frobenius theorem; the basics of Poisson manifolds; Poisson calculus and cohomology; quantization; Poisson morphisms and reduction; realizations of Poisson manifolds by symplectic manifolds and by symplectic groupoids and Poisson-Lie groups. The book unifies terminology and notation. It also reports on some original developments stemming from the author's work, including new results on Poisson cohomology and geometric quantization, cofoliations and biinvariant Poisson structures on Lie groups.

Lectures in Projective Geometry

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Release : 2012-06-14
Genre : Mathematics
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Book Rating : 734/5 ( reviews)

Lectures in Projective 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 Lectures in Projective Geometry write by A. Seidenberg. This book was released on 2012-06-14. Lectures in Projective Geometry available in PDF, EPUB and Kindle. An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.

Lectures on Poisson Geometry

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Release : 2021-10-14
Genre : Education
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Book Rating : 678/5 ( reviews)

Lectures on 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 Lectures on Poisson Geometry write by Marius Crainic. This book was released on 2021-10-14. Lectures on Poisson Geometry available in PDF, EPUB and Kindle. This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto

Lectures on Formal and Rigid Geometry

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Release : 2014-08-22
Genre : Mathematics
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Book Rating : 176/5 ( reviews)

Lectures on Formal and Rigid 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 Lectures on Formal and Rigid Geometry write by Siegfried Bosch. This book was released on 2014-08-22. Lectures on Formal and Rigid Geometry available in PDF, EPUB and Kindle. The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".