Thursday, 23rd Mar 2017V205, Mathematics Building
Nicolai Stammeier(The University of Oslo)
The internal structure of Zappa-Szép products of right LCM semigroups
In recent joint work on equilibrium states on semigroup C*-algebras with Afsar, Brownlowe, and Larsen, we discovered that the structure of equilibrium states admits an elegant description in terms of substructures of the original semigroup. More precisely, we consider two almost contrary subsemigroups and related features to obtain a unifying picture for a number of predating case studies. Somewhat surprisingly, all the examples from the case studies satisfy a list of four abstract properties (and are then called admissible). The nature and presence of these properties is yet to be fully understood. In this talk, I will focus on a class of examples arising as Zappa-Szép products of right LCM semigroups which showcases some interesting features. No prerequisites in operator algebras are required to follow this talk.
Tuesday, 28th Mar 2017V205, Mathematics Building
Dr Colin Reid(CARMA, The University of Newcastle)
Totally disconnected, locally compact groups
Totally disconnected, locally compact (t.d.l.c.) groups are a large class of topological groups that arise from a few different sources, for instance as automorphism groups of a range of algebraic and combinatorial structures, or from the study of isomorphisms between finite index subgroups of a given group. A general theory has begun to emerge in recent years, based on the interaction between small-scale and large-scale structure in t.d.l.c. groups. I will give a survey of some ways in which these groups arise and some of the tools that have been developed for understanding them.
Wednesday, 5th Apr 2017V107, Mathematics Building
Wednesday, 3rd May 2017V107, Mathematics Building
Tuesday, 9th May 2017V205, Mathematics Building
Prof Brian Alspach(CARMA, The University of Newcastle)
Toroidal Graphs: A Drama in Three Acts
I am going to look at three unsolved graph theory problems for which the same family of graphs presents a barrier to either solving or making substantial progress on the problems. The graphs in this family are called honeycomb toroidal graphs. The three problems are not closely related.
Wednesday, 7th Jun 2017V107, Mathematics Building
Interactions Between Semigroups and Operator Algebras
Monday, 17th Jul 2017 — Friday, 21st Jul 2017(Location to be decided)
The aim of this workshop is to bring together the world's foremost experts on the theory of semigroups and their relationships to other fields of mathematics such as operator algebras and totally disconnected locally compact groups. This workshop will allow the international leaders in the field to come to Australia to teach young Australian ECRs, and to forge new collaborations with Australian mathematicians.
Details will be available on the conference website.
Operator algebras associated to semigroups can be traced back to a famous theorem of Coburn from the 1960s. The theory has recently been reinvigorated through Xin Li's construction of semigroup C*-algebras. Li's construction has introduced new and interesting classes of C*-algebras, which have deep connections to number theory and dynamical systems. One connection that will be thoroughly explored through this meeting is that to the representation theory of totally disconnected locally compact groups.
International Conference on Fixed Point Theory and Its Applications
Monday, 24th Jul 2017 — Friday, 28th Jul 2017Harbourview Function Centre [Newcastle, NSW]
The conference is in the planning stages, and information will be added to the conference page as it becomes available.
Jonathan M Borwein Commemorative Conference
Monday, 25th Sep 2017 — Friday, 29th Sep 2017Noah's On the Beach [Newcastle, NSW]
Details are available on the conference website.