The Cech Centennial: A Conference on Homotopy Theory

The Cech Centennial: A Conference on Homotopy Theory PDF Author: Mila Cenkl
Publisher: American Mathematical Soc.
ISBN: 0821802968
Category : Mathematics
Languages : en
Pages : 442

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Book Description
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

The Cech Centennial: A Conference on Homotopy Theory

The Cech Centennial: A Conference on Homotopy Theory PDF Author: Mila Cenkl
Publisher: American Mathematical Soc.
ISBN: 0821802968
Category : Mathematics
Languages : en
Pages : 442

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Book Description
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

The ?ech Centennial

The ?ech Centennial PDF Author: Mila Cenkl
Publisher: American Mathematical Soc.
ISBN: 9780821855188
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This book contains the refereed proceedings of the %Cech Centennial Homotopy Theory Conference, organized to commemorate the 100th anniversary of the birth of Eduard %Cech and held at Northeastern University in June 1993. Focusing on the theme of stable and unstable homotopy theory, the conference attracted more than one hundred mathematicians from around the world. With recent results by some of the leaders in the field, this book will provide readers with a look at important directions in current research in homotopy theory.

Advances in Algebraic Geometry Motivated by Physics

Advances in Algebraic Geometry Motivated by Physics PDF Author: Emma Previato
Publisher: American Mathematical Soc.
ISBN: 082182810X
Category : Mathematics
Languages : en
Pages : 310

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Book Description
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 PDF Author: Donald M. Davis
Publisher: American Mathematical Soc.
ISBN: 0821828010
Category : Mathematics
Languages : en
Pages : 424

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Book Description
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 PDF Author: Carles Broto
Publisher: Birkhäuser
ISBN: 3034890184
Category : Mathematics
Languages : en
Pages : 405

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Book Description
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 PDF Author: I.M. James
Publisher: Elsevier
ISBN: 0080532985
Category : Mathematics
Languages : en
Pages : 1336

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Book Description
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 PDF Author: Paul Igodt
Publisher: American Mathematical Soc.
ISBN: 082182001X
Category : Mathematics
Languages : en
Pages : 330

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Book Description
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 PDF Author: Melvin Rothenberg
Publisher: American Mathematical Soc.
ISBN: 0821813625
Category : Mathematics
Languages : en
Pages : 334

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Book Description
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 PDF Author: Mark E. Mahowald
Publisher: American Mathematical Soc.
ISBN: 0821808052
Category : Mathematics
Languages : en
Pages : 394

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Book Description
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 PDF Author: Jaume Aguade
Publisher: Birkhäuser
ISBN: 3034883129
Category : Mathematics
Languages : en
Pages : 413

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Book Description
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.