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Author : Lucia Caporaso
Publisher : Cambridge University Press
Page : 437 pages
File Size : 55,8 Mb
Release : 2012-03-19
Category : Mathematics
ISBN : 9780521768252
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 : Izzet Coskun,Tommaso de Fernex,Angela Gibney
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 50,8 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 : Hamid Abban,Gavin Brown,Alexander Kasprzyk,Shigefumi Mori
Publisher : Cambridge University Press
Page : 368 pages
File Size : 43,9 Mb
Release : 2022-09-30
Category : Mathematics
ISBN : 9781009190824
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 : Bill Jacob,Tsit-Yuen Lam
Publisher : American Mathematical Soc.
Page : 405 pages
File Size : 43,5 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821851548
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.
Author : Izzet Coskun
Publisher : Unknown
Page : 386 pages
File Size : 40,9 Mb
Release : 2017
Category : Electronic
ISBN : 1470441217
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 : Klaus Hulek
Publisher : Cambridge University Press
Page : 500 pages
File Size : 42,8 Mb
Release : 1999-05-13
Category : Mathematics
ISBN : 0521646596
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.
Author : Charles Herbert Clemens,Janos Kollár
Publisher : Cambridge University Press
Page : 180 pages
File Size : 45,8 Mb
Release : 1995
Category : Mathematics
ISBN : 0521562449
The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to complex algebraic geometry. This volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. The editors of the volume, Herbert Clemens and János Kollár, chaired the organizing committee. This book gives a good idea of the intellectual content of the special year and of the workshops. Its articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years.
Author : S. V. Vostokov,Yuri Zarhin
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 40,7 Mb
Release : 2002
Category : Algebraic number theory
ISBN : 9780821832677
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.
Author : Claudio Bartocci,Luciano Boi,Corrado Sinigaglia
Publisher : World Scientific
Page : 328 pages
File Size : 52,8 Mb
Release : 2011-05-19
Category : Mathematics
ISBN : 9781908977885
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. Contents:Geometry, Theoretical Physics and Cosmology:The Emergence of Algebraic Geometry in Contemporary Physics (Claudio Bartocci & Ugo Bruzzo)Quantum Gravity and Quantum Geometry (Mauro Carfora)The de Sitter and Anti-de Sitter Universes (Ugo Moschella)Geometry and Topology in Relativistic Cosmology (Jean-Pierre Luminet)The Problem of Space in Neurosciences:Space Coding in the Cerebral Cortex (Leonardo Fogassi)Action and Space Representation (Anna Berti & Alessia Folegatti)The Space Representations in the Brain (Claudio Brozzoli & Alessandro Farnè)The Enactive Constitution of Space (Carrado Sinigaglia & Chiara Brozzo)Geometrical Methods in the Biological Sciences:Causes and Symmetries in Natural Sciences: The Continuum and the Discrete in Mathematical Modelling (Francis Bailly & Giuseppe Longo)Topological Invariants of Geometrical Surfaces and the Protein Folding Problem (Riccardo Broglia)The Geometry of Dense Packing and Biological Structures (Jean-François Sadoc)When Topology and Biology Meet ‘For Life’: The Interactions Between Topological Forms and Biological Functions (Luciano Boi) Readership: Students and researchers in mathematical sciences at graduate level. Keywords:Geometrical Models;Spatial Perception;Mirror Neurons;Quantum Field Theory;String TheoryKey Features:Multidisciplinary approachDistinguished contributors working in different research areasNovel perspectives on the interactions between mathematics and biology
Author : Pavlos Tzermias
Publisher : American Mathematical Soc.
Page : 190 pages
File Size : 40,6 Mb
Release : 2005-10-14
Category : Arithmetic
ISBN : 0821857193
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 : Christopher D. Hacon,Mircea Mustaţă,Mihnea Popa
Publisher : Cambridge University Press
Page : 451 pages
File Size : 53,9 Mb
Release : 2015-01-15
Category : Mathematics
ISBN : 9781107647558
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author : Kenneth Ribet
Publisher : Unknown
Page : 308 pages
File Size : 51,9 Mb
Release : 1987
Category : Arithmetical algebraic geometry
ISBN : UCAL:B5008728
Author : Anilatmaja Aryasomayajula,Indranil Biswas,Archana S. Morye,A. J. Parameswaran
Publisher : Springer
Page : 292 pages
File Size : 47,9 Mb
Release : 2017-09-08
Category : Mathematics
ISBN : 9789811056482
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 : Jeffery D. McNeal,Mircea Mustata
Publisher : American Mathematical Soc.
Page : 583 pages
File Size : 46,7 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 0821849085
"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 : Jeffery D. McNeal,Mircea Mustata
Publisher : American Mathematical Soc.
Page : 601 pages
File Size : 46,9 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780821872758
"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.
