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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 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.


Recent Developments in Algebraic Topology

Recent Developments in Algebraic Topology
Author: Samuel Gitler
Publisher: American Mathematical Soc.
Total Pages: 210
Release: 2006
Genre: Mathematics
ISBN: 0821836765

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This book is an excellent illustration of the versatility of Algebraic Topology interacting with other areas in Mathematics and Physics. Topics discussed in this volume range from classical Differential Topology and Homotopy Theory (Kervaire invariant one problem) to more recent lines of research such as Topological Quantum Field Theory (string theory). Likewise, alternative viewpoints on classical problems in Global Analysis and Dynamical Systems are developed (a spectral sequence approach to normal form theory). This collection of papers is based on talks at the conference on the occasion of Sam Gitler's 70th birthday (December, 2003). The variety of topics covered in this book reflects the many areas where Sam Gitler's contributions have had an impact.


Algebraic Topology

Algebraic Topology
Author: Mark E. Mahowald
Publisher: American Mathematical Soc.
Total Pages: 368
Release: 1989-12-31
Genre: Mathematics
ISBN: 9780821854297

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This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.


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.


Algebraic Topology and Related Topics

Algebraic Topology and Related Topics
Author: Mahender Singh
Publisher: Springer
Total Pages: 313
Release: 2019-02-02
Genre: Mathematics
ISBN: 9811357420

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This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.