Department of Mathematics
"Representation rings for fusion systems and dimension functions"
Abstract: In this talk I will present some results from our recent work with Sune Precht Reeh. We define the representation ring of a saturated fusion system F as the Grothendieck group of the monoid of F-stable representations, and study the dimension functions of F-stable real representations. We find a list of conditions for an F-stable super class function to be realized as the dimension function of an F-stable virtual representation. There are some applications of these results to constructions of finite group actions on homotopy spheres.
Date: Tuesday, 15 March 2016
Time: 13:40 - 15:30
Place: Mathematics Seminar Room, SA-141
All are cordially invited. Tea and biscuits after the seminar.