Equivariant Topology and Derived Algebra

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

Scott Balchin (Edited by), David Barnes (Edited by), Magdalena K?dziorek (Edited by), Markus Szymik (Edited by)

9781108931946, Cambridge University Press

Paperback / softback, published 18 November 2021

356 pages
22.9 x 15.2 x 2 cm, 0.53 kg

This volume contains eight research papers inspired by the 2019 'Equivariant Topology and Derived Algebra' conference, held at the Norwegian University of Science and Technology, Trondheim in honour of Professor J. P. C. Greenlees' 60th birthday. These papers, written by experts in the field, are intended to introduce complex topics from equivariant topology and derived algebra while also presenting novel research. As such this book is suitable for new researchers in the area and provides an excellent reference for established researchers. The inter-connected topics of the volume include: algebraic models for rational equivariant spectra; dualities and fracture theorems in chromatic homotopy theory; duality and stratification in tensor triangulated geometry; Mackey functors, Tambara functors and connections to axiomatic representation theory; homotopy limits and monoidal Bousfield localization of model categories.

1. Comparing dualities in the K(n)-local category Paul G. Goerss and Michael J. Hopkins
2. Axiomatic representation theory of finite groups by way of groupoids Ivo Dell'Ambrogio
3. Chromatic fracture cubes Omar Antolín-Camarena and Tobias Barthel
4. An introduction to algebraic models for rational G-spectra David Barnes and Magdalena K?dziorek
5. Monoidal Bousfield localizations and algebras over operads David White
6. Stratification and duality for unipotent finite supergroup schemes Dave Benson, Srikanth B. Iyengar, Henning Krause and Julia Pevtsova
7. Bi-incomplete Tambara functors Andrew J. Blumberg and Michael A. Hill
8. Homotopy limits of model categories, revisited Julia E. Bergner.

Subject Areas: Algebraic topology [PBPD], Groups & group theory [PBG]