Colva Roney-Dougal University of Sydney Conjugacy of subgroups of the general linear group Friday 30th, May 12:05-12:55pm, Stephen Roberts. Determining whether two subgroups are conjugate in some overgroup, and if so finding a conjugating element, has traditionally been viewed as a hard problem. In this talk I will describe how Aschbacher's theorem has been used to develop a new algorithm for the subgroup conjugacy problem in the general linear group.