Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
Geometry and Topology Seminar: Neutral Causal Topology
In this talk I will discuss the utilisation of neutral metrics - metrics of signature (n,n) - to investigate the topology of manifolds of various dimensions. Such metrics, while relatively neglected in comparison to their Riemannian and Lorentzian counterparts, arise in a surprising number of natural settings. In particular, embedding problems between manifolds often inherit such a metric, primarily because the Coddazi-Mainardi equations form an under-determined hyperbolic system. To illustrate this a series of canonical isometric embeddings will be presented along with their links with classical surface theory, the X-ray transform, Legendrian knot invariants, quasi-linear Navier-Stokes equations and, ultimately, a framework for a Grand Unification Theory of the fundamental forces in physics.