Surveys on Recent Developments in Algebraic Geometry

Surveys on Recent Developments in Algebraic Geometry PDF

Author: Izzet Coskun

Publisher: American Mathematical Soc.

Published: 2017-07-12

Total Pages: 370

ISBN-13: 1470435578

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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 Algebraic Geometry

Recent Advances in Algebraic Geometry PDF

Author: Christopher D. Hacon

Publisher: Cambridge University Press

Published: 2015-01-15

Total Pages: 451

ISBN-13: 110764755X

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A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

Affine Algebraic Geometry

Affine Algebraic Geometry PDF

Author: Kayo Masuda

Publisher: World Scientific

Published: 2013

Total Pages: 351

ISBN-13: 9814436704

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The present volume grew out of an international conference on affine algebraic geometry held in Osaka, Japan during 3-6 March 2011 and is dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday. It contains 16 refereed articles in the areas of affine algebraic geometry, commutative algebra and related fields, which have been the working fields of Professor Miyanishi for almost 50 years. Readers will be able to find recent trends in these areas too. The topics contain both algebraic and analytic, as well as both affine and projective, problems. All the results treated in this volume are new and original which subsequently will provide fresh research problems to explore. This volume is suitable for graduate students and researchers in these areas.

Algebraic Geometry

Algebraic Geometry PDF

Author: Igor V. Dolgachev

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 256

ISBN-13: 0821842013

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This volume contains the proceedings of the Korea-Japan Conference on Algebraic Geometry in honor of Igor Dolgachev on his sixtieth birthday. The articles in this volume explore a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered by this volume are algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, Mordell-Weil lattices, and automorphisms of hyperkahler manifolds. This book is an excellent and rich reference source for researchers.

Recent Progress in Arithmetic and Algebraic Geometry

Recent Progress in Arithmetic and Algebraic Geometry PDF

Author: Yasuyuki Kachi

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 186

ISBN-13: 0821834010

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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.

Modern Geometry: A Celebration of the Work of Simon Donaldson

Modern Geometry: A Celebration of the Work of Simon Donaldson PDF

Author: Vicente Muñoz

Publisher: American Mathematical Soc.

Published: 2018-09-05

Total Pages: 416

ISBN-13: 1470440946

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This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.

Recent Developments in Algebraic Geometry

Recent Developments in Algebraic Geometry PDF

Author: Hamid Abban

Publisher: Cambridge University Press

Published: 2022-09-30

Total Pages: 368

ISBN-13: 1009190822

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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 Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics

Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics PDF

Author: Pramod M. Achar

Publisher: American Mathematical Society

Published: 2014-08-27

Total Pages: 296

ISBN-13: 0821898523

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This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.