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An Alpine Anthology of Homotopy Theory

An Alpine Anthology of Homotopy Theory PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821857311
Category : Algebraic topology
Languages : en
Pages : 209

Book Description


An Alpine Anthology of Homotopy Theory

An Alpine Anthology of Homotopy Theory PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821857311
Category : Algebraic topology
Languages : en
Pages : 209

Book Description


An Alpine Anthology of Homotopy Theory

An Alpine Anthology of Homotopy Theory PDF Author: Dominique Arlettaz
Publisher: American Mathematical Soc.
ISBN: 082183696X
Category : Mathematics
Languages : en
Pages : 228

Book Description
The second Arolla conference on algebraic topology brought together specialists covering a wide range of homotopy theory and $K$-theory. These proceedings reflect both the variety of talks given at the conference and the diversity of promising research directions in homotopy theory. The articles contained in this volume include significant contributions to classical unstable homotopy theory, model category theory, equivariant homotopy theory, and the homotopy theory of fusionsystems, as well as to $K$-theory of both local fields and $C*$-algebras.

Une Degustation Topologique: Homotopy Theory in the Swiss Alps

Une Degustation Topologique: Homotopy Theory in the Swiss Alps PDF Author: Dominique Arlettaz
Publisher: American Mathematical Soc.
ISBN: 0821820788
Category : Mathematics
Languages : en
Pages : 274

Book Description
The talks given at the Arolla Conference on Algebraic Topology covered a broad spectrum of current research in homotopy theory, offering participants the possibility to sample and relish selected morsels of homotopy theory, much as a participant in a wine tasting partakes of a variety of fine wines. True to the spirit of the conference, the proceedings included in this volume present a savory sampler of homotopical delicacies. Readers will find within these pages a compilation of articles describing current research in the area, including classical stable and unstable homotopy theory, configuration spaces, group cohomology, K-theory, localization, p-compact groups, and simplicial theory.

Handbook of Homotopy Theory

Handbook of Homotopy Theory PDF Author: Haynes Miller
Publisher: CRC Press
ISBN: 1351251600
Category : Mathematics
Languages : en
Pages : 1043

Book Description
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.

An Alpine Bouquet of Algebraic Topology

An Alpine Bouquet of Algebraic Topology PDF Author: Jérôme Scherer
Publisher: American Mathematical Soc.
ISBN: 147042911X
Category : Mathematics
Languages : en
Pages : 322

Book Description
This volume contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held from August 15–21, 2016, in Saas-Almagell, Switzerland. The papers cover a broad range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic -theory and topological cyclic, periodic, or Hochschild homology, intersection cohomology, and symplectic topology.

Homotopy Theory of C*-Algebras

Homotopy Theory of C*-Algebras PDF Author: Paul Arne Østvær
Publisher: Springer Science & Business Media
ISBN: 303460565X
Category : Mathematics
Languages : en
Pages : 142

Book Description
Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications.

Interactions between Homotopy Theory and Algebra

Interactions between Homotopy Theory and Algebra PDF Author: Luchezar L. Avramov
Publisher: American Mathematical Soc.
ISBN: 0821838148
Category : Mathematics
Languages : en
Pages : 352

Book Description
This book is based on talks presented at the Summer School on Interactions between Homotopy theory and Algebra held at the University of Chicago in the summer of 2004. The goal of this book is to create a resource for background and for current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra, and representation theory. The articles in this book are aimed at the audience of beginning researchers with varied mathematical backgrounds and have been written with both the quality of exposition and the accessibility to novices in mind.

Homotopy Theory: Tools and Applications

Homotopy Theory: Tools and Applications PDF Author: Daniel G. Davis
Publisher: American Mathematical Soc.
ISBN: 1470442442
Category : Homotopy theory
Languages : en
Pages : 268

Book Description
This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17–21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL. The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and K-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, and the theory of higher homotopy operations.

Equivariant Topology and Derived Algebra

Equivariant Topology and Derived Algebra PDF Author: Scott Balchin
Publisher: Cambridge University Press
ISBN: 1108931944
Category : Mathematics
Languages : en
Pages : 357

Book Description
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.

A Handbook of Model Categories

A Handbook of Model Categories PDF Author: Scott Balchin
Publisher: Springer Nature
ISBN: 3030750353
Category : Mathematics
Languages : en
Pages : 326

Book Description
This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.