Speaker: Prof Michael Cowling, University of Birmingham 2 PM, in Carslaw 159 We will take the speaker to lunch at Thai Tha Hai before the talk, departing from Carslaw level 2 at 12:30 PM Title: Maps of groups that send cosets to cosets. Abstract: In many cases, maps of groups to groups that send cosets (of subgroups) to cosets have strong algebraic properties. In other cases, they do not. This talk surveys what we know on this topic, and why it is of interest.