# Seminar Archive - 2010

Our regular seminar program covers a broad range of topics from applied mathematics, pure mathematics and statistics. All staff and students are welcome.
A complete list of past seminars can be accessed via the left-hand menu.

*Prof. Michael Cowling - UNSW*

A few weeks ago, a statistics seminar at UNSW included some results on random rotations, and made a number of conjectures. These focussed on the behaviour of powers of random orthogonal matrices....

*Dr. Zhou Zhang - University of Sydney*

In this expository talk aiming at general audience, we begin with some basic facts regarding the Ricci flow and its complex version, the Kahler-Ricci flow. Then we look into a few very natural...

23 November 2010 - Quasi-Monte Carlo numerical integration on R^s: digital nets and worst-case error

*Josef Dick - UNSW*

Quasi-Monte Carlo rules are equal weight quadrature rules defined over the domain $[0,1]^s$. Here we introduce quasi-Monte Carlo type rules for numerical integration of functions defined on $\mathbb{...

*Dr. Jonathan Kress - UNSW*

An integrable n-dimensional Hamiltonian system possessing 2n-1 functionally independent symmetries is said to be superintegrable. The best known superintegrable systems are the Kepler-Coulomb system...

*Robert Tichy - TU Graz*

In the first part of the talk we present new results concerning limit theorems and laws of the iterated logarithm for the discrepancy and related quantities. This extents a classical result of Walter...

*Igor Shparlinski - Macquarie University*

We'll give a survey of various interesting results about the distribution of the set of points on the modular hyperbola xy = a (mod p) for a prime p. These results show that this curve is not a...

*Johann S. Brauchart - UNSW*

A famous problem in physics concerns the distribution of electrons and resulting electrostatic energy on conducting spheres. With this classical model in mind one defines the Riesz $s$-energy and...

*Dr. S. Jon Chapman - University of Oxford*

We consider two different position jump processes: (i) a random walk on a lattice (ii) the Euler scheme for the Smoluchowski differential equation.Both of these reduce to the diffusion equation as...

*Dr. Sergey Ajiev - UNSW*

This talk is in the areas of infinite-dimensional and quantum geometry with some elements of algebra and analysis on infinite-dimensional spaces. The theory of the uniform classification of infinite-...

*Prof. Mark Kisin - University of Chicago*

This will be a somewhat historical talk. I will give an overview of the ideas that go into the proof of Fermat's Last Theorem, its relation with modularity of elliptic curves, and perhaps some of...