Host Institution: 
La Trobe University 
Title of Seminar: 
Statistical Analyses dealing with Water & Environment 
Speaker's Name: 
Dr Mark James Fielding 
Speaker's Institution: 
DHI Water & Environment 
Time and Date: 
Monday 16 December, 11.00am (AEDT) 
Seminar Abstract: 
With varied methods used for multivariate extreme value analyses, a number of different techniques are compared, toward Time permitting, other areas of statistical analyses in Water & Environment may touched upon. Including Gaussian process emulation of nonlinear computer outputs. 


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Host Institution: 
La Trobe University 
Title of Seminar: 
On the classification of Quantum groups 
Speaker's Name: 
Professor Alexander Stolin 
Speaker's Institution: 
University of Gothenburg, Sweden 
Time and Date: 
Friday 15 November, 2.00pm (AEDT) 
Seminar Abstract: 
We will explain an approach to classification of certain quantum groups. Let g be a complex simple Lie algebra. A quantum group is a Hopf algebra over C[[h]], which has g as its classical limit. To obtain it we, roughly speaking, set h=0. More precisely, being a classical limit of a Hopf algebra, g becomes a Lie bialgebra. It is wellknown that simple Lie algebras are classified by means of the socalled Dynkin diagrams. In 1982, Belavin and Drinfeld classified the corresponding Lie bialgebras by means of the BelavinDrinfeld triples, which can be described as two isomorphic subdiagrams of the Dynkin diagram of g (they are called triples because the isomorphism between the subdiagrams matters). In order to classify the corresponding quantum groups we introduced further combinatorial data, which we called BelavinDrinfeld cohomologies. There are two types of the BDcohomologies, namely nontwisted and twisted versions.In my talk, I will explain how to describe BDcohomologies for special linear and orthogonal algebras. No prior knowledge except for the standard facts about simple Lie algebras is needed. This is a joint work Iulia Pop (Chalmers University of Technology, Sweden). 


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Host Institution: 
University of South Australia 
Title of Seminar: 
An approach to solving decomposable optimization problems with coupling constraints 
Speaker's Name: 
Oleg Burdakov 
Speaker's Institution: 
Linko¨ping University, Sweden 
Time and Date: 
Tuesday 10 December 2013, 2.30pm (ACDT)  3.00pm AEDT 
Seminar Abstract: 
We consider a problem of minimising f1(x)+f2(y) over x ∈ X ⊆ Rn and y ∈ Y ⊆ Rm subject to a number of extra coupling constraints of the form g1(x)g2(y) ≥ 0. Due to these constraints, the problem may have a large number of local minima. For any feasible combination of signs of g1(x) and g2(y), the coupled problem is decomposable, and the resulting two problems are assumed to be easily solved. An approach to solving the coupled problem is presented. We apply it to solving coupled monotonic regression problems arising in experimental psychology. Coauthors: John C. Dunn and Mike Kalish 
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Host Institution: 
La Trobe University 
Title of Seminar: 
Integrablelike behavior in the FermiPastaUlam model 
Speaker's Name: 
Dr Heleni Christodoulidi 
Speaker's Institution: 
Patras University, Greece 
Time and Date: 
Monday 18 November, 4.00pm (AEDT) 
Seminar Abstract: 
In 1950’s Fermi, motivated by fundamental questions of statistical mechanics, started a numerical experiment in collaboration with Pasta and Ulam to test the ergodic properties of nonlinear dynamical systems. The chosen socalled FPU system was a one dimensional chain of N nonlinear coupled oscillators, described by a quadratic potential of nearby particle interactions plus a cubic perturbation. Fermi’s ergodic hypothesis states that a system under an arbitrarily small perturbing force becomes generically ergodic. Starting with the longest wavelength normal mode, the FPU system showed a nonergodic behavior. Many pioneer works followed for the explanation of this paradox. The most prominent of them have been the work of Zabusky and Kruskal (1965), with evidence of connection between the FPU system in the thermodynamic limit and the pde Kortewegde Vries, and the work of Flaschka et al. (1982), where the authors discovered a similar behavior of the FPU model in the Toda chain. Recent developments show a more complete picture of the problem and its explanation. 


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