Past Events

Beginning with Aristotle, almost every major philosopher and mathematician before the nineteenth century rejected the notion of the actual infinite. They all argued that the only sensible notion is that of potential infinity. The list includes some...

A video of this event is available on mathtube.org. Matrices contain combinatorial information. They may provide alternative representations of combinatorial ideas. Examples include permutation matrices as representations of permutations of a finite...

The behaviour of elastic liquids does not follow simply from our understanding of both elastic solids and viscous liquids. Four anomalous behaviours will be discussed :-- (i) long wakes at low Reynolds numbers, (ii) large vortices upstream of a...

Perfect graphs are a class of graphs that behave particularly well with respect to coloring. In the 1960's Claude Berge made two conjectures about this class of graphs, that motivated a great deal of research, and by now they have both been solved...

I will discuss the following question: Is any smooth or analytic orientation preserving diffeomorphism of the circle $f$ with an irrational rotation number $\alpha$ almost reducible in the sense that there exists a sequence of smooth or analytic...

The geodesics on a sphere (the prototypical positively curved surface) are the great circles, all of which are closed (that is, each great circle eventually returns to its initial point, in the same direction as it left). It is a remarkable fact that...

We first give an accessible overview of combinatorial optimization and highlight the role of mathematics and theoretical computer science in developing efficient solution techniques. Tree structures have appeared persistently both in the models and...

Uncertainty quantification (UQ) has been a hot research topic recently. UQ has a variety of applications, including hydrology, fluid mechanics, data assimilation, and weather forecasting. Among a large number of approaches, the high order numerical...

In the 70's, Tutte developed a clever algebraic approach, based on certain "invariants", to solve a functional equation that arises in the enumeration of properly coloured triangulations. The enumeration of plane lattice walks confined to the first...