The Cech Centennial: A Conference on Homotopy Theory

The Cech Centennial: A Conference on Homotopy Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 442
Release :
ISBN-10 : 9780821802960
ISBN-13 : 0821802968
Rating : 4/5 (60 Downloads)

Synopsis The Cech Centennial: A Conference on Homotopy Theory by : Mila Cenkl

The June 1993 conference was organized to commemorate the 100th anniversary of the birth of Czech mathematician Edward Cech. The main topics of the conference were the most recent results in the stable and unstable homotopy theory. Among the topics in 22 refereed papers: on finiteness of subgroups of self-homotopy equivalences; the Chen groups of the pure braid group; Morava's change of rings theorem; the Boardman homomorphism; and a comparison criterion for certain loop spaces. No index. Annotation copyright by Book News, Inc., Portland, OR

Advances in Algebraic Geometry Motivated by Physics

Advances in Algebraic Geometry Motivated by Physics
Author :
Publisher : American Mathematical Soc.
Total Pages : 310
Release :
ISBN-10 : 9780821828106
ISBN-13 : 082182810X
Rating : 4/5 (06 Downloads)

Synopsis Advances in Algebraic Geometry Motivated by Physics by : Emma Previato

Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session, ``Enumerative Geometry in Physics,'' held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.

Recent Progress in Homotopy Theory

Recent Progress in Homotopy Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 424
Release :
ISBN-10 : 9780821828014
ISBN-13 : 0821828010
Rating : 4/5 (14 Downloads)

Synopsis Recent Progress in Homotopy Theory by : Donald M. Davis

This volume presents the proceedings from the month-long program held at Johns Hopkins University (Baltimore, MD) on homotopy theory, sponsored by the Japan-U.S. Mathematics Institute (JAMI). The book begins with historical accounts on the work of Professors Peter Landweber and Stewart Priddy. Central among the other topics are the following: 1. classical and nonclassical theory of $H$-spaces, compact groups, and finite groups, 2. classical and chromatic homotopy theory andlocalization, 3. classical and topological Hochschild cohomology, 4. elliptic cohomology and its relation to Moonshine and topological modular forms, and 5. motivic cohomology and Chow rings. This volume surveys the current state of research in these areas and offers an overview of futuredirections.

Algebraic Topology: New Trends in Localization and Periodicity

Algebraic Topology: New Trends in Localization and Periodicity
Author :
Publisher : Birkhäuser
Total Pages : 405
Release :
ISBN-10 : 9783034890182
ISBN-13 : 3034890184
Rating : 4/5 (82 Downloads)

Synopsis Algebraic Topology: New Trends in Localization and Periodicity by : Carles Broto

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.

Handbook of Algebraic Topology

Handbook of Algebraic Topology
Author :
Publisher : Elsevier
Total Pages : 1336
Release :
ISBN-10 : 9780080532981
ISBN-13 : 0080532985
Rating : 4/5 (81 Downloads)

Synopsis Handbook of Algebraic Topology by : I.M. James

Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

Crystallographic Groups and Their Generalizations

Crystallographic Groups and Their Generalizations
Author :
Publisher : American Mathematical Soc.
Total Pages : 330
Release :
ISBN-10 : 9780821820018
ISBN-13 : 082182001X
Rating : 4/5 (18 Downloads)

Synopsis Crystallographic Groups and Their Generalizations by : Paul Igodt

This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.

Tel Aviv Topology Conference: Rothenberg Festschrift

Tel Aviv Topology Conference: Rothenberg Festschrift
Author :
Publisher : American Mathematical Soc.
Total Pages : 334
Release :
ISBN-10 : 9780821813621
ISBN-13 : 0821813625
Rating : 4/5 (21 Downloads)

Synopsis Tel Aviv Topology Conference: Rothenberg Festschrift by : Melvin Rothenberg

This volume presents the proceedings of the Tel Aviv International Topology Conference held during the Special Topology Program at Tel Aviv University. The book is dedicated to Professor Mel Rothenberg on the occasion of his 65th birthday. His contributions to topology are well known-from the early work on triangulations to numerous papers on transformation groups and on geometric and analytic aspects of torsion theory. Current research related to those contributions are reported in this book. Coverage is included on the following topics: vanishing theorems for the Dirac operator, the theory of Reidemeister torsion (including infinite dimensional flat bundles), Nobikov-Shubin invariants of manifolds, topology of group actions, Lusternik-Schnirelman theory for closed 1-forms, finite type invariants of links and 3-manifolds, equivariant cobordisms, equivariant orientations and Thom isomorphisms, and more.

Homotopy Theory via Algebraic Geometry and Group Representations

Homotopy Theory via Algebraic Geometry and Group Representations
Author :
Publisher : American Mathematical Soc.
Total Pages : 394
Release :
ISBN-10 : 9780821808054
ISBN-13 : 0821808052
Rating : 4/5 (54 Downloads)

Synopsis Homotopy Theory via Algebraic Geometry and Group Representations by : Mark E. Mahowald

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.

Cohomological Methods in Homotopy Theory

Cohomological Methods in Homotopy Theory
Author :
Publisher : Birkhäuser
Total Pages : 413
Release :
ISBN-10 : 9783034883122
ISBN-13 : 3034883129
Rating : 4/5 (22 Downloads)

Synopsis Cohomological Methods in Homotopy Theory by : Jaume Aguade

This book contains a collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. A call for articles was made on the occasion of an emphasis semester organized by the Centre de Recerca Matemtica in Bellaterra (Barcelona) in 1998. The main topics treated in the book include abstract features of stable and unstable homotopy, homotopical localizations, p-compact groups, H-spaces, classifying spaces for proper actions, cohomology of discrete groups, K-theory and other generalized cohomology theories, configuration spaces, and Lusternik-Schnirelmann category. The book is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory. New research directions in topology are highlighted. Moreover, this informative and educational book serves as a welcome reference for many new results and recent methods.

Geometry and Topology: Aarhus

Geometry and Topology: Aarhus
Author :
Publisher : American Mathematical Soc.
Total Pages : 410
Release :
ISBN-10 : 9780821821589
ISBN-13 : 082182158X
Rating : 4/5 (89 Downloads)

Synopsis Geometry and Topology: Aarhus by : Karsten Grove

This volume includes both survey and research articles on major advances and future developments in geometry and topology. Papers include those presented as part of the 5th Aarhus Conference - a meeting of international participants held in connection with ICM Berlin in 1998 - and related papers on the subject. This collection of papers is aptly published in the Contemporary Mathematics series, as the works represent the state of research and address areas of future development in the area of manifold theory and geometry. The survey articles in particular would serve well as supplemental resources in related graduate courses.