Mackey functors for fusion systems

Lead Research Organisation: Lancaster University
Department Name: Mathematics and Statistics

Abstract

The project consists in defining a notion of a Mackey functor for a saturated fusion system over a finite p-group. Mackey functors are presently only defined for finite groups, and the first objectve of the project is to adapt the 3 definitions of a Mackey functor to fusion systems. At present, only the Burnside Mackey functor has been defined for fusion systems. In a second stage, the student will study the properties of such functors. Depending on the results, the project could extend to the analogue exercise for Tambara functors for fusion systems.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/V520214/1 01/10/2020 31/10/2025
2436890 Studentship EP/V520214/1 01/10/2020 30/09/2024 Marco Praderio