Seminars without (*) are in the Maths Seminars archive; the others are hosted on external websites or have no web presence.
Abstract: The Schröder problems are a set of 4 combinatorial questions relating to counting different kinds of bracketings. In this talk, we introduce the basic idea of combinatorial species, demonstrate a common species approach which can solve the four of […]
There is significant interest in the L^2 metric on the moduli space of SU(2) Euclidean monopoles, both because it is hyperkähler, and because it models monopole dynamics. No direct analogue of such a metric exists for hyperbolic monopoles, though alternatives […]
Abstract: The Schröder problems are a set of 4 combinatorial questions relating to counting different kinds of bracketings. In this talk, we introduce the basic idea of combinatorial species, demonstrate a common species approach which can solve the four of […]
A foundational and fascinating theme in differential geometry is to understand how geometric quantities constrain topology. In this talk, we will explain how the topological complexity of minimal surfaces in closed three-manifolds can be controlled by their variational instability and […]
The relative contributions of wild-bird spillover and local spread to highly pathogenic avian influenza (HPAI) infection in British poultry remain poorly quantified. I first introduce the WiLiMan-ID modelling challenge on Jolly Island to explore how intervention priorities may change as […]
In this talk, I will relate the expected hyperbolic length of the perimeter of the convex hull of the trajectory of Brownian motion in the hyperbolic plane to an expectation of a certain exponential functional of a one-dimensional real-valued Brownian […]
Power calculations, and variants thereof, are widely used to choose sample sizes for medical studies and scientific experiments. Since power is a conditional quantity, the quality of the sample size resulting from a power calculation is dependent on the values […]
The compactified Ruijsenaars--Schneider systems are completely integrable Hamiltonian systems on smooth moduli spaces of flat SU(n) connections on the one-holed torus. The monodromy around the hole is constrained to the smallest non-central conjugacy classes of SU(n), which can be labelled […]
Abstract: Topological solitons are smooth, localized, finite-energy solutions of nonlinear PDEs arising in field theory. They are topologically stable in the sense that they cannot be continuously deformed into a constant solution without requiring infinite energy, and are characterized by […]
Abstract: Given an algebraic group G defined over an algebraically closed field, we may define the notion of a Harish-Chandra bimodule. This is a bimodule for the universal enveloping algebra of the Lie algebra of G with a compatible action […]
The logician is familiar with the idea that filters are generalised points. Topos theorists push this idea further by asking: what is a generalised space? This talk will focus on one such answer: LT-Topologies ("Lawvere-Tierney Topologies"). In the 1980s, Hyland […]
TBA