Conference on Algebraic Topology in Honor of Peter Hilton

Conference on Algebraic Topology in Honor of Peter Hilton
Author: Peter Hilton
Publisher: American Mathematical Soc.
Total Pages: 176
Release: 1985
Genre: Mathematics
ISBN: 0821850369

This book, which is the proceedings of a conference held at Memorial University of Newfoundland, August 1983, contains 18 papers in algebraic topology and homological algebra by collaborators and associates of Peter Hilton. It is dedicated to Hilton on the occasion of his 60th birthday. The various topics covered are homotopy theory, $H$-spaces, group cohomology, localization, classifying spaces, and Eckmann-Hilton duality. Students and researchers in algebraic topology will gain an appreciation for Hilton's impact upon mathematics from reading this book.

Algebraic Topology

Algebraic Topology
Author: Mark E. Mahowald
Publisher: American Mathematical Soc.
Total Pages: 366
Release: 1989
Genre: Mathematics
ISBN: 0821851020

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.

The Lefschetz Centennial Conference. Part I: Proceedings on Algebraic Geometry

The Lefschetz Centennial Conference. Part I: Proceedings on Algebraic Geometry
Author: D. Sundararaman
Publisher: American Mathematical Soc.
Total Pages: 288
Release: 1986
Genre: Mathematics
ISBN: 082185061X

Contains many of the papers in the area of algebraic geometry presented at the 1984 Solomon Lefschetz Centennial Conference held in Mexico City. This work also focuses on the areas of algebraic topology and differential equations where Lefschetz made significant contributions.

Higher Homotopy Structures in Topology and Mathematical Physics

Higher Homotopy Structures in Topology and Mathematical Physics
Author: James D. Stasheff
Publisher: American Mathematical Soc.
Total Pages: 338
Release: 1999
Genre: Mathematics
ISBN: 082180913X

Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas.

Geometric and Topological Invariants of Elliptic Operators

Geometric and Topological Invariants of Elliptic Operators
Author: Jerome Kaminker
Publisher: American Mathematical Soc.
Total Pages: 312
Release: 1990
Genre: Mathematics
ISBN: 0821851128

This volume contains the proceedings of the AMS-IMS-SIAM Summer Research Conference on ``Geometric and Topological Invariants of Elliptic Operators,'' held in August 1988 at Bowdoin College. Some of the themes covered at the conference and appearing in the articles are: the use of more sophisticated asymptotic methods to obtain index theorems, the study of the $\eta$ invariant and analytic torsion, and index theory on open manifolds and foliated manifolds. The current state of noncommutative differential geometry, as well as operator algebraic and $K$-theoretic methods, are also presented in several the articles. This book will be useful to researchers in index theory, operator algebras, foliations, and mathematical physics. Topologists and geometers are also likely to find useful the view the book provides of recent work in this area. In addition, because of the expository nature of several of the articles, it will be useful to graduate students interested in working in these areas.

Algebraic Geometry: Sundance 1988

Algebraic Geometry: Sundance 1988
Author: Brian Harbourne
Publisher: American Mathematical Soc.
Total Pages: 160
Release: 1991
Genre: Mathematics
ISBN: 0821851241

This volume contains the proceedings of the NSF-CBMS Regional Conference on Algebraic Geometry, held in Sundance, Utah in July 1988. The conference focused on algebraic curves and related varieties. Some of the papers collected here represent lectures delivered at the conference, some report on research done during the conference, while others describe related work carried out elsewhere.

Partition Problems in Topology

Partition Problems in Topology
Author: Stevo Todorcevic
Publisher: American Mathematical Soc.
Total Pages: 130
Release: 1989
Genre: Mathematics
ISBN: 0821850911

This book presents results on the case of the Ramsey problem for the uncountable: When does a partition of a square of an uncountable set have an uncountable homogeneous set? This problem most frequently appears in areas of general topology, measure theory, and functional analysis. Building on his solution of one of the two most basic partition problems in general topology, the ``S-space problem,'' the author has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set theory at the level of a first year graduate or advanced undergraduate student. The book may also be of interest to the exclusively set-theoretic reader, for it provides an excellent introduction to the subject of forcing axioms of set theory, such as Martin's axiom and the Proper forcing axiom.

Classical Groups and Related Topics

Classical Groups and Related Topics
Author: Alexander Hahn
Publisher: American Mathematical Soc.
Total Pages: 272
Release: 1989
Genre: Mathematics
ISBN: 082185089X

During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.