Wednesday, 3rd May 2017V107, Mathematics Building
Tuesday, 9th May 2017V205, Mathematics Building
Prof Brian Alspach(CARMA, The University of Newcastle)
Honeycomb 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.
Tuesday, 16th May 2017V205, Mathematics Building
Prof Wadim Zudilin(CARMA, The University of Newcastle)
Hypergeometric heritage of W.N. Bailey
Part of my 2016 SSP included completion of a semi-historical review on the mathematics of W.N. Bailey, a familiar name in some combinatorics circles in relation with the "Bailey lemma" and "Bailey pairs." My personal encounters with the mathematician from the first half of the 20th century were somewhat different and more related to applications of special functions to number theory—the subject Bailey had never dealt with himself. One motivation for my writing was the place where I spent my SSP—details to be revealed in the talk. There will be some formulas displayed, sometimes scary, but they will serve as a background to historical achievements. Broad audience is welcome.
Tuesday, 23rd May 2017V205, Mathematics Building
Dr Philipp Braun(School of Electrical Engineering and Computer Science, The University of Newcastle)
(Nonsmooth) Control Lyapunov Functions: Stabilization and Destabilization of Nonlinear Systems
Control Lyapunov functions (CLFs) for the control of dynamical systems have faded from the spotlight over the last years even though their full potential has not been explored yet. To reactivate research on CLFs we review existing results on Lyapunov functions and (nonsmooth) CLFs in the context of stability and stabilization of nonlinear dynamical systems. Moreover, we highlight open problems and results on CLFs for destabilization. The talk concludes with ideas on Complete CLFs, which combine the concepts of stability and instability. The results presented in the talk are illustrated and motivated on the examples of a nonholonomic integrator and Artstein's circles.
Wednesday, 7th Jun 2017V107, Mathematics Building
Interactions Between Semigroups and Operator Algebras
Monday, 24th Jul 2017 — Friday, 28th 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.