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Author : Athanase Papadopoulos
Publisher : Springer Nature
Page : 396 pages
File Size : 50,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031435102
Author : Athanase Papadopoulos
Publisher : Springer Nature
Page : 469 pages
File Size : 50,8 Mb
Release : 2022-02-18
Category : Mathematics
ISBN : 9783030866952
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,Tommaso de Fernex,Angela Gibney
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 42,9 Mb
Release : 2017-07-12
Category : $K$-theory -- Higher algebraic $K$-theory -- $Q$- and plus-constructions
ISBN : 9781470435578
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 : Spiro Karigiannis,Naichung Conan Leung,Jason D. Lotay
Publisher : Springer Nature
Page : 392 pages
File Size : 55,8 Mb
Release : 2020-05-26
Category : Mathematics
ISBN : 9781071605776
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 : Sergey Novikov,Igor Krichever,Oleg Ogievetsky,Senya Shlosman
Publisher : American Mathematical Soc.
Page : 480 pages
File Size : 54,8 Mb
Release : 2021-04-12
Category : Education
ISBN : 9781470455927
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 : Jacob E. Goodman
Publisher : American Mathematical Soc.
Page : 568 pages
File Size : 43,7 Mb
Release : 2008
Category : Combinatorial geometry
ISBN : 9780821842393
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 : Howard Eves
Publisher : Unknown
Page : 128 pages
File Size : 46,7 Mb
Release : 1963
Category : Geometry
ISBN : OCLC:1080741935
Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 41,9 Mb
Release : 2004-08-24
Category : History
ISBN : 3540225331
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 : I.R. Shafarevich
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 55,7 Mb
Release : 1995-12-21
Category : Mathematics
ISBN : 3540546804
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 : Howard Whitley Eves
Publisher : Unknown
Page : 496 pages
File Size : 40,9 Mb
Release : 1965
Category : Electronic
ISBN : LCCN:lc63013001
Author : Pierre E. Cartier,Bernard Julia,Pierre Moussa,Pierre Vanhove
Publisher : Springer Science & Business Media
Page : 806 pages
File Size : 53,9 Mb
Release : 2007-07-18
Category : Mathematics
ISBN : 9783540303084
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,George Galanis,Efstathios Vassiliou
Publisher : Cambridge University Press
Page : 315 pages
File Size : 44,6 Mb
Release : 2016
Category : Mathematics
ISBN : 9781316601952
A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.
Author : British Columbia. Education Survey Commission,John Harold Putman,George Moir Weir
Publisher : King's Printer
Page : 594 pages
File Size : 49,5 Mb
Release : 1925
Category : Education
ISBN : UOM:39015076571044
Author : Günter Harder
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 42,7 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 9783834881595
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Author : C. S. Aravinda,F. T. Farrell,J.-F. Lafont
Publisher : Cambridge University Press
Page : 378 pages
File Size : 42,6 Mb
Release : 2016-01-21
Category : Mathematics
ISBN : 9781107529007
Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.
