Recent Developments In Algebraic Geometry PDF Download
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Author | : Izzet Coskun |
Publisher | : American Mathematical Soc. |
Total Pages | : 386 |
Release | : 2017-07-12 |
Genre | : Mathematics |
ISBN | : 1470435578 |
Download Surveys on Recent Developments in Algebraic Geometry Book in PDF, ePub and Kindle
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 | : Izzet Coskun |
Publisher | : |
Total Pages | : 386 |
Release | : 2017 |
Genre | : |
ISBN | : 9781470441210 |
Download Surveys on Recent Developments in Algebraic Geometry Book in PDF, ePub and Kindle
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 p 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 | : Yasuyuki Kachi |
Publisher | : American Mathematical Soc. |
Total Pages | : 186 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821834010 |
Download Recent Progress in Arithmetic and Algebraic Geometry Book in PDF, ePub and Kindle
This proceedings volume resulted from the John H. Barrett Memorial Lecture Series held at the University of Tennessee (Knoxville). The articles reflect recent developments in algebraic geometry. It is suitable for graduate students and researchers interested in algebra and algebraic geometry.
Author | : Hamid Abban |
Publisher | : Cambridge University Press |
Total Pages | : 368 |
Release | : 2022-09-30 |
Genre | : Mathematics |
ISBN | : 1009190822 |
Download Recent Developments in Algebraic Geometry Book in PDF, ePub and Kindle
Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.
Author | : Lucia Caporaso |
Publisher | : Cambridge University Press |
Total Pages | : 437 |
Release | : 2012-03-19 |
Genre | : Mathematics |
ISBN | : 052176825X |
Download Current Developments in Algebraic Geometry Book in PDF, ePub and Kindle
This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Author | : Jeffery D. McNeal |
Publisher | : American Mathematical Soc. |
Total Pages | : 583 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 9780821849088 |
Download Analytic and Algebraic Geometry Book in PDF, ePub and Kindle
"Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.
Author | : Anilatmaja Aryasomayajula |
Publisher | : Springer |
Total Pages | : 292 |
Release | : 2017-09-08 |
Genre | : Mathematics |
ISBN | : 981105648X |
Download Analytic and Algebraic Geometry Book in PDF, ePub and Kindle
This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.
Author | : Arnaud Beauville |
Publisher | : Springer |
Total Pages | : 176 |
Release | : 2016-12-06 |
Genre | : Mathematics |
ISBN | : 3319462091 |
Download Rationality Problems in Algebraic Geometry Book in PDF, ePub and Kindle
Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel–Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.
Author | : Thorsten Theobald |
Publisher | : American Mathematical Society |
Total Pages | : 312 |
Release | : 2024-04-18 |
Genre | : Mathematics |
ISBN | : 1470476363 |
Download Real Algebraic Geometry and Optimization Book in PDF, ePub and Kindle
This book provides a comprehensive and user-friendly exploration of the tremendous recent developments that reveal the connections between real algebraic geometry and optimization, two subjects that were usually taught separately until the beginning of the 21st century. Real algebraic geometry studies the solutions of polynomial equations and polynomial inequalities over the real numbers. Real algebraic problems arise in many applications, including science and engineering, computer vision, robotics, and game theory. Optimization is concerned with minimizing or maximizing a given objective function over a feasible set. Presenting key ideas from classical and modern concepts in real algebraic geometry, this book develops related convex optimization techniques for polynomial optimization. The connection to optimization invites a computational view on real algebraic geometry and opens doors to applications. Intended as an introduction for students of mathematics or related fields at an advanced undergraduate or graduate level, this book serves as a valuable resource for researchers and practitioners. Each chapter is complemented by a collection of beneficial exercises, notes on references, and further reading. As a prerequisite, only some undergraduate algebra is required.
Author | : Christopher D. Hacon |
Publisher | : Cambridge University Press |
Total Pages | : 451 |
Release | : 2015-01-15 |
Genre | : Mathematics |
ISBN | : 110764755X |
Download Recent Advances in Algebraic Geometry Book in PDF, ePub and Kindle
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.