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An Alpine Bouquet of Algebraic Topology

Author: Jérôme Scherer

Publisher: American Mathematical Soc.

Published: 2018-05-30

Total Pages: 308

ISBN-13: 147042911X

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.

An Alpine Bouquet of Algebraic Topology

Author: Christian Ausoni

Publisher:

Published: 2018

Total Pages: 322

ISBN-13: 9781470447748

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This volume contains the proceedings of the Second Mid-Atlantic Topology Conference, held from March 12–13, 2016, at Johns Hopkins University in Baltimore, Maryland. The focus of the conference, and subsequent papers, was on applications of innovative methods from homotopy theory in category theory, algebraic geometry, and related areas, emphasizing the work of younger researchers in these fields.

Alpine Perspectives on Algebraic Topology

Author: Christian Ausoni

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 274

ISBN-13: 0821848399

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Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.

An Alpine Anthology of Homotopy Theory

Author: Dominique Arlettaz

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 228

ISBN-13: 082183696X

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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.

An Alpine Expedition through Algebraic Topology

Author: Christian Ausoni

Publisher: American Mathematical Soc.

Published: 2014-06-09

Total Pages: 314

ISBN-13: 0821891456

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This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, from August 20-25, 2012. The papers in this volume cover topics such as category theory and homological algebra, functor homology, algebraic -theory, cobordism categories, group theory, generalized cohomology theories and multiplicative structures, the theory of iterated loop spaces, Smith-Toda complexes, and topological modular forms.

Equivariant Topology and Derived Algebra

Author: Scott Balchin

Publisher: Cambridge University Press

Published: 2021-11-18

Total Pages: 357

ISBN-13: 1108931944

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

Algebraic Topology

Author: Solomon Lefschetz

Publisher: American Mathematical Soc.

Published: 1942-12-31

Total Pages: 404

ISBN-13: 0821810278

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K-theory in Algebra, Analysis and Topology

Author: Guillermo Cortiñas

Publisher: American Mathematical Soc.

Published:

Total Pages: 388

ISBN-13: 1470450267

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This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16–20, 2018, in La Plata, Argentina, and the workshop was held from July 23–27, 2018, in Buenos Aires, Argentina. The volume showcases current developments in K-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators, noncommutative motives, the classification of C∗-algebras via Kasparov's K-theory, the comparison between full and reduced C∗-crossed products, and a proof of Bott periodicity using almost commuting matrices.

New Spaces in Physics

Author: Mathieu Anel

Publisher: Cambridge University Press

Published: 2021-04

Total Pages: 437

ISBN-13: 110849062X

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In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.

Homotopy Theory: Tools and Applications

Author: Daniel G. Davis

Publisher: American Mathematical Soc.

Published: 2019-05-30

Total Pages: 268

ISBN-13: 1470442442

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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.