Current Developments In Algebraic Geometry
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Current Developments in Algebraic Geometry
Author | : Lucia Caporaso |
Publsiher | : Cambridge University Press |
Total Pages | : 437 |
Release | : 2012-03-19 |
Genre | : Mathematics |
ISBN | : 9780521768252 |
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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
Author | : Izzet Coskun,Tommaso de Fernex,Angela Gibney |
Publsiher | : American Mathematical Soc. |
Total Pages | : 370 |
Release | : 2017-07-12 |
Genre | : $K$-theory -- Higher algebraic $K$-theory -- $Q$- and plus-constructions |
ISBN | : 9781470435578 |
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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.
Recent Advances in Real Algebraic Geometry and Quadratic Forms
Author | : Bill Jacob,Tsit-Yuen Lam |
Publsiher | : American Mathematical Soc. |
Total Pages | : 405 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9780821851548 |
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The papers in this volume grew out of a year-long program in ``Real Algebraic Geometry and Quadratic Forms'', held at the University of California at Berkeley during the 1990-1991 academic year. This valuable collection of research articles by top workers serves as a record of current developments in these areas and as a tribute to the fruitful interaction between them. Students and researchers alike will find this book a useful reference, with articles ranging from the technical to the expository. Also included are summaries of the current developments in several sub-disciplines and indications of new research directions.
Recent Developments in Algebraic Geometry
Author | : Hamid Abban,Gavin Brown,Alexander Kasprzyk,Shigefumi Mori |
Publsiher | : Cambridge University Press |
Total Pages | : 368 |
Release | : 2022-09-30 |
Genre | : Mathematics |
ISBN | : 9781009190824 |
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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.
Recent Advances in Algebraic Geometry
Author | : Christopher D. Hacon,Mircea Mustaţă,Mihnea Popa |
Publsiher | : Cambridge University Press |
Total Pages | : 451 |
Release | : 2015-01-15 |
Genre | : Mathematics |
ISBN | : 9781107647558 |
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A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Surveys on Recent Developments in Algebraic Geometry
Author | : Izzet Coskun |
Publsiher | : Unknown |
Total Pages | : 386 |
Release | : 2017 |
Genre | : Electronic Book |
ISBN | : 1470441217 |
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
Algebraic Number Theory and Algebraic Geometry
Author | : S. V. Vostokov,Yuri Zarhin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 232 |
Release | : 2002 |
Genre | : Algebraic number theory |
ISBN | : 9780821832677 |
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A. N. Parshin is a world-renowned mathematician who has made significant contributions to number theory through the use of algebraic geometry. Articles in this volume present new research and the latest developments in algebraic number theory and algebraic geometry and are dedicated to Parshin's sixtieth birthday. Well-known mathematicians contributed to this volume, including, among others, F. Bogomolov, C. Deninger, and G. Faltings. The book is intended for graduate students andresearch mathematicians interested in number theory, algebra, and algebraic geometry.
New Trends in Algebraic Geometry
Author | : Klaus Hulek |
Publsiher | : Cambridge University Press |
Total Pages | : 500 |
Release | : 1999-05-13 |
Genre | : Mathematics |
ISBN | : 0521646596 |
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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.