"Clifford Theory of

Fusion Systems"





(Bilkent University)



Abstract: This is a joint work with Laurence Barker. We study the effect of blockwise Clifford reduction on fusion systems of blocks. Our concern is not only the  fusion system of a given block, but also the centric  category of the orbit category and the Külshammer-Puig  classes associated to each object in the latter category. Some  complications arise  when we use ordinary group algebras, so  we propose to use the notion of fibred group algebras. In this talk, we explain how Fong-Reynolds and quotienting steps of  the Clifford reduction affects the corresponding fusion system of the block in the special case where the block has defect zero.




Date:  Wednesday, June 11,  2014

Time: 10.00 – 11.00

Place: Mathematics Seminar Room, SA-141



All are most cordially invited.
Tea and biscuits: before the seminar