New Trends in Algebraic Geometry
Title | New Trends in Algebraic Geometry PDF eBook |
Author | Klaus Hulek |
Publisher | Cambridge University Press |
Pages | 500 |
Release | 1999-05-13 |
Genre | Mathematics |
ISBN | 9780521646598 |
This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing 17 survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A,D,E classification, centred around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric foundations to mirror symmetry; and two deep, informative surveys by Siebert and Behrend on Gromow-Witten invariants treating them from the point of view of algebraic and symplectic geometry. The remaining articles cover a wide cross-section of the most significant research topics in algebraic geometry. This includes Gromow-Witten invariants, Hodge theory, Calabi-Yau 3-folds, mirror symmetry and classification of varieties.
Contemporary Trends In Algebraic Geometry And Algebraic Topology
Title | Contemporary Trends In Algebraic Geometry And Algebraic Topology PDF eBook |
Author | Shiing-shen Chern |
Publisher | World Scientific |
Pages | 276 |
Release | 2002-08-02 |
Genre | Mathematics |
ISBN | 9814488518 |
The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.
New Trends in Geometry
Title | New Trends in Geometry PDF eBook |
Author | Luciano Boi |
Publisher | World Scientific |
Pages | 329 |
Release | 2011 |
Genre | Mathematics |
ISBN | 1848166435 |
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.
Current Developments in Algebraic Geometry
Title | Current Developments in Algebraic Geometry PDF eBook |
Author | Lucia Caporaso |
Publisher | Cambridge University Press |
Pages | 437 |
Release | 2012-03-19 |
Genre | Mathematics |
ISBN | 052176825X |
This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Surveys on Recent Developments in Algebraic Geometry
Title | Surveys on Recent Developments in Algebraic Geometry PDF eBook |
Author | Izzet Coskun |
Publisher | American Mathematical Soc. |
Pages | 386 |
Release | 2017-07-12 |
Genre | Mathematics |
ISBN | 1470435578 |
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.
New Trends in Algebraic Geometry
Title | New Trends in Algebraic Geometry PDF eBook |
Author | Klaus Hulek |
Publisher | |
Pages | 498 |
Release | 2014-05-14 |
Genre | Geometry |
ISBN | 9781107362758 |
Seventeen articles from the most outstanding contemporary topics in algebraic geometry.
New Trends in Algebraic Geometry and Its Applications
Title | New Trends in Algebraic Geometry and Its Applications PDF eBook |
Author | Sonia P ́erez-D ́ıaz |
Publisher | Mdpi AG |
Pages | 188 |
Release | 2021-10-29 |
Genre | Technology & Engineering |
ISBN | 9783036523071 |
Unirrational algebraic varieties, particularly curves and surfaces, play an important role in many fields, such as Algebraic Geometry, Computational Geometry, Computer-Aided Design, Computer Graphics, and Geometric Modeling. Consequently, algorithms and results dealing with the different algebraic and geometric problems involving these geometric objects are very important. This Special Issue on "New Trends in Algebraic Geometry and Its Applications" is directed at mathematicians and computer scientists with a particular interest in algebraic geometry and its applications. This Special Issue aims to facilitate communication between researchers addressing the fundamental algorithmic issues in the treatment of curves and surfaces (from symbolic and numeric perspectives). The contributions presented in this Special Issue explore the interplay between geometry, algebra, and numerical computation when designing a variety of algorithms, or provide a complexity analysis of the running time of such algorithms. This Special Issue focuses on recent problems concerning algebraic geometry and its applications as an algorithm for visualizing algebraic varieties, in scientific and computational algebra, computational and algebraic geometry, and computer algebra problems, solved by means of symbolic-numeric techniques.