Past Events

For every generating set S of any finite group G, there is a corresponding Cayley graph Cay(G;S). It was conjectured in the early 1970's that Cay(G;S) always has a hamiltonian cycle, but there has been very little progress on this problem. Joint work...

How can individuals cooperate to satisfy local constraints without a central authority? Examples might include autonomous drones navigating in a swarm, or university departments scheduling their seminars. Individuals can make random choices and...

While vaccines are available and are effective in protecting against colonisation and disease with Streptococcus pneumoniae, their effectiveness is limited by strain (serotype) replacement following widespread vaccination. Understanding the post...

This is the first part of a two part exposition on the triangle-free process. The triangle-free process begins on an empty graph and adds edges at random, provided no triangle is created with the existing edges. One of the original motivations for...

We consider the Cauchy problem of 3D incompressible Navier-Stokes equations for uniformly locally square integrable initial data. The existence of a time-global weak solution has been known, when the square integral of the initial datum on a ball...

The quadratic assignment problem, QAP, has many applications ranging from the planning of building locations of a university, to the positioning of modules on a computer chip (VLSI design), to the design of keyboards. This problem is arguably one of...

A video of this event is available on mathtube.org. The (1d) KPZ universality class contains random growth models, directed random polymers, stochastic Hamilton-Jacobi equations (e.g. the eponymous Kardar-Parisi-Zhang equation). It is characterized...

The Dobrushin-Lanford-Ruelle theorem gives sufficient conditions on sets of configurations on the d-dimensional lattice so that (1) every measure which maximizes the topological pressure is a Gibbs measure and (2) every Gibbs measure maximizes the...

A traditional population-genetics approach studies geneaologies in a population of a fixed size, which forms the basis of several spectral theories of finite samples. In contrast, a population of tumor cells typically experiences an exponential...

The main goal of this talk is to introduce transitionally commutative principal G-bundles and to show that they can be classified homotopically using a space B_comG that is called the classifying space for commutativity in G. In the second half of...