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Surveys in Geometry I

2022-02-18 Mathematics
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Release : 2022-02-18
Genre : Mathematics
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Surveys in Geometry I by : Athanase Papadopoulos

Download or read book Surveys in Geometry I written by Athanase Papadopoulos. This book was released on 2022-02-18. Available in PDF, EPUB and Kindle. Book excerpt: The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.

Surveys on Recent Developments in Algebraic Geometry

2017-07-12 Mathematics
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Release : 2017-07-12
Genre : Mathematics
Kind : eBook
Book Rating : 578/5 ( reviews)

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Book Synopsis Surveys on Recent Developments in Algebraic Geometry by : Izzet Coskun

Download or read book Surveys on Recent Developments in Algebraic Geometry written by Izzet Coskun. This book was released on 2017-07-12. Available in PDF, EPUB and Kindle. Book excerpt: The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah. These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.

Essays on Einstein Manifolds

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Essays on Einstein Manifolds by : Claude LeBrun

Download or read book Essays on Einstein Manifolds written by Claude LeBrun. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This is the sixth volume in a series providing surveys of differential geometry. It addresses: Einstein manifolds with zero Ricci curvature; rigidity and compactness of Einstein metrics; general relativity; the stability of Minkowski space-time; and more.

Surveys in Geometric Analysis and Relativity

2011 General relativity (Physics).
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Release : 2011
Genre : General relativity (Physics).
Kind : eBook
Book Rating : 305/5 ( reviews)

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Book Synopsis Surveys in Geometric Analysis and Relativity by : Hubert Lewis Bray

Download or read book Surveys in Geometric Analysis and Relativity written by Hubert Lewis Bray. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Presents twenty-three selected survey articles on central topics of geometric analysis and general relativity, written by prominent experts in the fields. Topics of geometric analysis include the Yamabe problem, mean curvature flow, minimal surfaces, harmonic maps, collapsing of manifolds, and Kähler-Einstein metrics. General relativity topics include the positive mass theorem, the Penrose inequality, scalar curvature and Einstein's constraint equations, and the positive mass theorem for asymptotically hyperbolic manifolds.

Surveys in Modern Mathematics

2005-04-14 Mathematics
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Release : 2005-04-14
Genre : Mathematics
Kind : eBook
Book Rating : 938/5 ( reviews)

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Book Synopsis Surveys in Modern Mathematics by : Viktor Vasilʹevich Prasolov

Download or read book Surveys in Modern Mathematics written by Viktor Vasilʹevich Prasolov. This book was released on 2005-04-14. Available in PDF, EPUB and Kindle. Book excerpt: Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.

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