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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: Neutral Causal Topology

Presented by Brendan Guilfoyle , IT Tralee

5 October 2017 13:00 in CM221

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.

Contact mark.a.powell@durham.ac.uk or andrew.lobb@durham.ac.uk or wilhelm.klingenberg@durham.ac.uk for more information