Title: Flat groups and graphs
Speaker: Jacqui Ramagge (University of Wollongong)
Abstract: In 1994 George Willis defined a scale function for a totally disconnected locally compact group G and the notion of a tidy subgroup for an element x G. In 2002 Rögnvaldur Möller gave a graphical characterisation of tidy subgroups for fixed xG . The aim of this talk is to give an overview of joint work with Cheryl Praeger and George Willis generalising this result to certain semigroups of elements in G. No previous knowledge of the structure theory for locally compact totally disconnected groups will be assumed; the talk should be accessible to students.