Equivariant Topology and Derived Algebra

This volume contains eight research papers inspired by the 2019 Equivariant Topology and Derived Algebra conference, covering topics such as algebraic models for rational equivariant spectra, dualities and fracture theorems, duality and stratification, Mackey functors, Tambara functors, and homotopy limits. It is suitable for new researchers and provides an excellent reference for established researchers.

Format: Paperback / softback
Length: 356 pages
Publication date: 18 November 2021
Publisher: Cambridge University Press

This comprehensive volume presents a collection of eight research papers, inspired by the 2019 Equivariant Topology and Derived Algebra conference, held at the Norwegian University of Science and Technology, Trondheim, in honor of Professor J. P. C. Greenlees' 60th birthday. The papers, authored by esteemed experts in the field, aim to introduce complex topics from equivariant topology and derived algebra while also presenting novel research. As such, this book serves as an invaluable resource for both novice and established researchers, providing a thorough exploration of the interrelated subjects covered.

The volume's central themes include:

Algebraic Models for Rational Equivariant Spectra: This section explores the use of algebraic models to study rational equivariant spectra, focusing on their mathematical properties and applications.

Dualities and Fracture Theorems in Chromatic Homotopy Theory: This section delves into the study of dualities and fracture theorems in chromatic homotopy theory, shedding light on the connections between different types of homotopy theories and their applications.

Duality and Stratification in Tensor Triangulated Geometry: This section examines the concept of duality and stratification in tensor triangulated geometry, exploring its implications for understanding the geometry of higher-dimensional manifolds and its connections to other areas of mathematics.

Mackey Functors, Tambara Functors, and Connections to Axiomatic Representation Theory: This section explores the role of Mackey functors and Tambara functors in the study of axiomatic representation theory, highlighting their applications in various areas of mathematics.

Homotopy Limits and Monoidal Bousfield Localization of Model Categories: This section investigates the concept of homotopy limits and monoidal Bousfield localization in model categories, exploring their applications in algebraic topology and mathematical physics.

Overall, this volume offers a rich and diverse perspective on equivariant topology and derived algebra, providing valuable insights into these complex fields and fostering further research. Its comprehensive coverage and expert contributions make it an essential resource for scholars and researchers alike.

Weight: 528g
Dimension: 153 x 227 x 27 (mm)
ISBN-13: 9781108931946