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.
This volume arises from the 2019 'Equivariant Topology and Derived Algebra' conference (Trondheim). The papers, written by experts in the field, have been carefully selected to contain a balance of new research and expository papers, accessible to new researchers in the area and forming a valuable reference for experts.
Daugiau informacijos
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
|
|
|
vi | |
| Preface |
|
vii | |
|
1 Comparing Dualities in the K(n)-local Category |
|
|
1 | (38) |
|
|
|
|
|
2 Axiomatic Representation Theory of Finite Groups by way of Groupoids |
|
|
39 | (61) |
|
|
|
3 Chromatic Fracture Cubes |
|
|
100 | (19) |
|
|
|
|
|
4 An Introduction to Algebraic Models for Rational G-Spectra |
|
|
119 | (61) |
|
|
|
|
|
5 Monoidal Bousfield Localizations and Algebras over Operads |
|
|
180 | (61) |
|
|
|
6 Stratification and Duality for Unipotent Finite Supergroup Schemes |
|
|
241 | (35) |
|
|
|
|
|
|
|
|
|
7 Bi-incomplete Tambara Functors |
|
|
276 | (38) |
|
|
|
|
|
8 Homotopy Limits of Model Categories, Revisited |
|
|
314 | |
|
|
Scott Balchin is currently Postdoctoral Fellow at the Max Planck Institute of Mathematics in Bonn. Previously he was Postdoctoral Research Fellow at the University of Warwick. He has published several articles on the use of Quillen model categories in homotopy theory and is the author of A Handbook of Model Categories (2021). David Barnes is Senior Lecturer in Mathematics at Queen's University Belfast. His research focuses on stable homotopy theory, usually with either a monoidal or equivariant flavour, often using algebra to describe the structures in question. He is a co-author of Foundations of Stable Homotopy Theory (2020). Magdalena Kdziorek is Assistant Professor in Mathematics at Radboud University in Nijmegen. She has held research positions in the Netherlands, Germany, the United Kingdom and Switzerland, where she has worked on topics including rational stable homotopy theory, equivariant operads and motivic homotopy theory. Markus Szymik is Professor of Mathematics at NTNU Norwegian University of Science and Technology in Trondheim. His research interests center around algebraic and geometric aspects of symmetry. He has written an introductory textbook on topology (2009 and 2015) and co-edited a conference proceedings on topological data analysis (2020).
