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Author : Athanase Papadopoulos
Publisher : Springer Nature
ISBN 13 : 3031435109
Total Pages : 396 pages
Book Rating : 4.0/5 (314 download)
Download or read book Surveys in Geometry II written by Athanase Papadopoulos and published by Springer Nature. This book was released on with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Athanase Papadopoulos
Publisher : Springer Nature
ISBN 13 : 3030866955
Total Pages : 469 pages
Book Rating : 4.0/5 (38 download)
Download or read book Surveys in Geometry I written by Athanase Papadopoulos and published by Springer Nature. This book was released on 2022-02-18 with total page 469 pages. 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.
Author : Izzet Coskun
Publisher : American Mathematical Soc.
ISBN 13 : 1470435578
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)
Download or read book Surveys on Recent Developments in Algebraic Geometry written by Izzet Coskun and published by American Mathematical Soc.. This book was released on 2017-07-12 with total page 370 pages. 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.
Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
ISBN 13 : 9783540225331
Total Pages : 414 pages
Book Rating : 4.2/5 (253 download)
Download or read book Positivity in Algebraic Geometry I written by R.K. Lazarsfeld and published by Springer Science & Business Media. This book was released on 2004-08-24 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Author : Howard Whitley Eves
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)
Download or read book A Survey of Geometry written by Howard Whitley Eves and published by . This book was released on 2001* with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Spiro Karigiannis
Publisher : Springer Nature
ISBN 13 : 1071605771
Total Pages : 392 pages
Book Rating : 4.0/5 (716 download)
Download or read book Lectures and Surveys on G2-Manifolds and Related Topics written by Spiro Karigiannis and published by Springer Nature. This book was released on 2020-05-26 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.
Author : Howard Whitley Eves
Publisher :
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.:/5 (6 download)
Download or read book A Survey of Geometry written by Howard Whitley Eves and published by . This book was released on 1965 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergey Novikov
Publisher : American Mathematical Soc.
ISBN 13 : 1470455927
Total Pages : 480 pages
Book Rating : 4.4/5 (74 download)
Download or read book Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry written by Sergey Novikov and published by American Mathematical Soc.. This book was released on 2021-04-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
Author : Howard Eves
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (18 download)
Download or read book A Survey of Geometry written by Howard Eves and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacob E. Goodman
Publisher : American Mathematical Soc.
ISBN 13 : 0821842390
Total Pages : 568 pages
Book Rating : 4.8/5 (218 download)
Download or read book Surveys on Discrete and Computational Geometry written by Jacob E. Goodman and published by American Mathematical Soc.. This book was released on 2008 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains nineteen survey papers describing the state of current research in discrete and computational geometry as well as a set of open problems presented at the 2006 AMS-IMS-SIAM Summer Research Conference Discrete and Computational Geometry--Twenty Years Later, held in Snowbird, Utah, in June 2006. Topics surveyed include metric graph theory, lattice polytopes, the combinatorial complexity of unions of geometric objects, line and pseudoline arrangements, algorithmic semialgebraic geometry, persistent homology, unfolding polyhedra, pseudo-triangulations, nonlinear computational geometry, $k$-sets, and the computational complexity of convex bodies.
Author : I.R. Shafarevich
Publisher : Springer Science & Business Media
ISBN 13 : 3642609252
Total Pages : 270 pages
Book Rating : 4.6/5 (426 download)
Download or read book Algebraic Geometry II written by I.R. Shafarevich and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
Author : Raf Cluckers
Publisher : Cambridge University Press
ISBN 13 : 1139501739
Total Pages : 263 pages
Book Rating : 4.1/5 (395 download)
Download or read book Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 written by Raf Cluckers and published by Cambridge University Press. This book was released on 2011-09-22 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This second volume discusses various applications of non-Archimedean geometry, model theory and motivic integration and the interactions between these domains.
Author : Pierre E. Cartier
Publisher : Springer Science & Business Media
ISBN 13 : 3540303081
Total Pages : 806 pages
Book Rating : 4.5/5 (43 download)
Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.
Author : C. T. J. Dodson
Publisher : Cambridge University Press
ISBN 13 : 1316601951
Total Pages : 315 pages
Book Rating : 4.3/5 (166 download)
Download or read book Geometry in a Fréchet Context written by C. T. J. Dodson and published by Cambridge University Press. This book was released on 2016 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.
Author : Michael Gekhtman
Publisher : American Mathematical Soc.
ISBN 13 : 0821849727
Total Pages : 264 pages
Book Rating : 4.8/5 (218 download)
Download or read book Cluster Algebras and Poisson Geometry written by Michael Gekhtman and published by American Mathematical Soc.. This book was released on 2010 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to cluster algebras, this work contains chapters on Poisson geometry and Schubert varieties; an introduction to cluster algebras and their main properties; and geometric aspects of the cluster algebra theory, in particular on its relations to Poisson geometry and to the theory of integrable systems.
Author : Shreeram Shankar Abhyankar
Publisher : American Mathematical Soc.
ISBN 13 : 0821815350
Total Pages : 311 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry for Scientists and Engineers written by Shreeram Shankar Abhyankar and published by American Mathematical Soc.. This book was released on 1990 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures presented in courses on algebraic geometry taught by the author at Purdue University, this book covers various topics in the theory of algebraic curves and surfaces, such as rational and polynomial parametrization, functions and differentials on a curve, branches and valuations, and resolution of singularities.
Author : Silouanos Brazitikos
Publisher : American Mathematical Soc.
ISBN 13 : 1470414562
Total Pages : 618 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometry of Isotropic Convex Bodies written by Silouanos Brazitikos and published by American Mathematical Soc.. This book was released on 2014-04-24 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach spaces. It is also closely linked to many other fields, such as probability theory, partial differential equations, Riemannian geometry, harmonic analysis and combinatorics. It is now understood that the convexity assumption forces most of the volume of a high-dimensional convex body to be concentrated in some canonical way and the main question is whether, under some natural normalization, the answer to many fundamental questions should be independent of the dimension. The aim of this book is to introduce a number of well-known questions regarding the distribution of volume in high-dimensional convex bodies, which are exactly of this nature: among them are the slicing problem, the thin shell conjecture and the Kannan-Lovász-Simonovits conjecture. This book provides a self-contained and up to date account of the progress that has been made in the last fifteen years.
