BILKENT
ALGEBRA SEMINAR

"The simple functors associated

with a fusion system"

By

Laurence Barker

(Bilkent University)

Abstract: We shall present an example calculation to illustrate a
classification theorem for the simple functors of a suitable group category.
The example will be the group category associated with the fusion system on the
subgroups of S_4, where the isogations are
conjugations. The description of the simple functors, with complex
coefficients, will be sufficiently explicit for us to calculate their
dimensions. Hence, we shall be able to directly confirm semisimplicity
in this case. (Actually, Boltje and Danz proved that, in characteristic zero, the group
category of a fusion system is always semisimple.)

Date:
Monday, March 5, 2012

Time: 15.40-16.30

Place: Mathematics Seminar Room,
SA-141

Tea
and cookies will be served after the talk.