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Contemporary Trends In Algebraic Geometry And Algebraic Topology

Contemporary Trends In Algebraic Geometry And Algebraic Topology
Author: Shiing-shen Chern
Publisher: World Scientific
Total Pages: 276
Release: 2002-08-02
Genre: Mathematics
ISBN: 9814488518

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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.


Current Trends in Algebraic Topology

Current Trends in Algebraic Topology
Author: Richard M. Kane
Publisher: American Mathematical Soc.
Total Pages: 542
Release: 1982-01-01
Genre: Mathematics
ISBN: 9780821860038

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Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.


Contemporary Trends in Algebraic Geometry and Algebraic Topology

Contemporary Trends in Algebraic Geometry and Algebraic Topology
Author: Shiing-Shen Chern
Publisher: World Scientific
Total Pages: 278
Release: 2002
Genre: Mathematics
ISBN: 9789812777416

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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.


Algebraic Cycles, Sheaves, Shtukas, and Moduli

Algebraic Cycles, Sheaves, Shtukas, and Moduli
Author: Piotr Pragacz
Publisher: Springer Science & Business Media
Total Pages: 240
Release: 2008-03-12
Genre: Mathematics
ISBN: 3764385375

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Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.


Current Developments in Algebraic Geometry

Current Developments in Algebraic Geometry
Author: Lucia Caporaso
Publisher: Cambridge University Press
Total Pages: 437
Release: 2012-03-19
Genre: Mathematics
ISBN: 052176825X

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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.


A History of Algebraic and Differential Topology, 1900 - 1960

A History of Algebraic and Differential Topology, 1900 - 1960
Author: Jean Dieudonné
Publisher: Springer Science & Business Media
Total Pages: 666
Release: 2009-09-01
Genre: Mathematics
ISBN: 0817649077

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This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet


Topics in Cohomological Studies of Algebraic Varieties

Topics in Cohomological Studies of Algebraic Varieties
Author: Piotr Pragacz
Publisher: Springer Science & Business Media
Total Pages: 321
Release: 2006-03-30
Genre: Mathematics
ISBN: 3764373423

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The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis


Homotopy Theory via Algebraic Geometry and Group Representations

Homotopy Theory via Algebraic Geometry and Group Representations
Author: Mark E. Mahowald
Publisher: American Mathematical Soc.
Total Pages: 394
Release: 1998
Genre: Mathematics
ISBN: 0821808052

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The academic year 1996-97 was designated as a special year in Algebraic Topology at Northwestern University (Evanston, IL). In addition to guest lecturers and special courses, an international conference was held entitled "Current trends in algebraic topology with applications to algebraic geometry and physics". The series of plenary lectures included in this volume indicate the great breadth of the conference and the lively interaction that took place among various areas of mathematics. Original research papers were submitted, and all submissions were refereed to the usual journal standards.


Real Algebraic Geometry and Topology

Real Algebraic Geometry and Topology
Author: Selman Akbulut
Publisher: American Mathematical Soc.
Total Pages: 170
Release: 1995
Genre: Mathematics
ISBN: 0821802925

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This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.


Algebraic Topology: New Trends in Localization and Periodicity

Algebraic Topology: New Trends in Localization and Periodicity
Author: Carles Broto
Publisher: Birkhäuser
Total Pages: 405
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034890184

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Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.