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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

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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/V520214/1 30/09/2020 30/05/2027
2436890 Studentship EP/V520214/1 30/09/2020 29/09/2024 Marco Praderio