An alpine bouquet of algebraic topology : Alpine Algebraic and Applied Topology Conference, August 15-21, 2016, Saas-Almagell, Switzerland / Christian Ausoni [and four others], editors.

Format:

Book

Conference/Event

Contributor:

Ausoni, Christian, 1968- editor.

Conference Name:

Conference on Alpine Algebraic and Applied Topology (2016 : Saas-Almagell, Switzerland)

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 708

Contemporary mathematics, 708 0271-4132

Language:

English

Subjects (All):

Algebraic topology--Congresses.

Algebraic topology.

Physical Description:

1 online resource (322 pages).

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2018]

Summary:

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 K-theory and topological cyclic, periodic, or Hochschild homology, intersection cohomology, and symplectic topology.

Contents:

Cover

Title page

Contents

Preface

List of Conference Talks

List of Participants

Characteristics for ℰ_{∞} ring spectra

Introduction

1. Motivation: characteristics in algebra

2. Background material on -modules and commutative -algebras

3. Characteristics of connective -local commutative -algebras

4. Examples

Acknowledgments

References

Segal objects and the Grothendieck construction

1. Left and right fibrations

2. Segal objects in a \sV-category

3. Cartesian fibrations

4. (Co)limits for a general \sV

5. Kan extensions

Blown-up intersection cohomology

Part 1. Blown-up intersection cohomology. Stratified maps

Part 2. Properties of the blown-up intersection cohomology

Homotopically rigid Sullivan algebras and their applications

1. Highly connected homotopically rigid CDGA

2. Realizing finite groups by highly connected CDGA

3. Inflexible manifolds

Appendix A. By Pascal Lambrechts and Don Stanley

A Dundas-Goodwillie-McCarthy theorem for split square-zero extensions of exact categories

1. Split square-zero extensions of exact categories and bimodules

2. The K-theory of ⋉

3. The categorical Dundas-Goodwillie-McCarthy theorem

Four approaches to cohomology theories with reality

1. Introduction

2. Ordinary cohomology

3. -theory with reality

Topological Hochschild homology and the Hasse-Weil zeta function

1. The Tate spectrum

2. Cyclotomic spectra

3. Topological Hochschild homology

4. The divided Bott element

5. The conjugate spectral sequence

6. The Hodge spectral sequence

7. Regularized determinants

The stable symplectic category and a conjecture of Kontsevich.

1. Introduction

2. The stable symplectic homotopy category

3. A stable version of Kontsevich's conjecture

4. Appendix: Grothendieck-Teichmüller groups

Universal Gysin formulas for the universal Hall-Littlewood functions

2. Topological preliminaries

3. Universal Hall-Littlewood functions

4. Applications of Gysin formulas to the Schur functions

5. New universal factorial Schur functions

Graded multiplications on iterated bar constructions

1. Simplicial bar construction

2. Geometric realization

3. The bar construction

Appendix A. Monoidal category theory

Double homotopy (co)limits for relative categories

0. Introduction

1. Localisations reviewed

2. Derived functors

3. Construction of derived functors

4. The yoga of mates

5. Beck-Chevalley condition

6. Derived adjunctions

7. Two notions of homotopy colimits

8. Evaluation and endomorphisms

9. Derived functors on diagram categories

Back Cover.

Notes:

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-4774-6