SEMINAR: Groups and Combinatorics Seminar: Totally Disconnected Groups and Discrete Mathematics

Groups and Combinatorics Seminar

George Willis (University of Newcastle)

will speak on

Totally Disconnected Groups and Discrete Mathematics

at 3pm on Tuesday 18th of January in MLR2

Abstract: Totally disconnected, locally compact groups are typically not discrete. The potential for using techniques from discrete mathematics to study totally disconnected groups arises however because these groups may often be represented as automorphism groups of (infinite) discrete structures. Analogy with the study of automorphism groups of finite structures as well as specific results about graphs and permutation groups may have a role to play.

The talk will begin with a survey of totally disconnected groups, including key examples. Particular results and problems which relate to graph theory, finite group theory and permutation groups will then be discussed.

All welcome.