# Research Seminar Series

### Applied Mathematics Seminars

## Geometry and Topology Seminar: Neutral Causal Topology

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

### Arithmetic Study Group

## Geometry and Topology Seminar: Neutral Causal Topology

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

### Centre for Particle Theory Colloquia

## Geometry and Topology Seminar: Neutral Causal Topology

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

### Computing Seminars/Talks

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### CPT Student Seminar

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Departmental Research Colloquium

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Distinguished Lectures and Public Lectures

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Geometry and Topology Seminar

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Informal HEP Journal club

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Maths HEP Lunchtime Seminars

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Pure Maths Colloquium

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Statistics Seminars

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221

### Stats4Grads

## Geometry and Topology Seminar: Neutral Causal Topology

5 October 2017 13:00 in CM221