LMS Workshop on Geometric Inverse Problems
When
28 February, 2017
Where
University of Manchester
Alan Turing Building
Frank Adams 2
Organisers
Theme
In inverse problems we try to recover an unknown \(x\) from some given data \(d\). A very general mathematical model for this situation is $$d = F(x) + \epsilon$$ where we have a known "forward map" \(F\) giving a model of how the data are related to the parameters to be determined, and some random noise \(\epsilon\) representing errors in measurement. Geometric inverse problems specifically, the theme of this workshop, are concerned with cases in which the forward map and data are determined in terms of some geometric structure. For example, \(F\) could be related to integration over geodesics of a Riemannian metric, or solutions of a boundary value problem for a Laplace-Beltrami operator.
The workshop will consist of talks by experts working in the field of geometric inverse problems, as well as a poster session giving early career researchers an opportunity to present their work as well. The workshop is jointly funded by the LMS and MIMS.
Invited Speakers
- Prof Gabriel Paternain (Cambridge University)
- Dr Hanming Zhou (Cambridge University)
- Dr Alden Waters (UCL)
- Prof Bill Lionheart (University of Manchester)
Schedule
Please click on the titles for abstracts.
| Time | Speaker | Title |
| 10:00 - 10:50 | Prof Gabriel Paternain | Effective inversion of the attenuated X-ray transform associated with a connection. |
| 11:00 - 11:50 | Prof Bill Lionheart | |
| 12:00 - 13:00 | Lunch Break | |
| 13:00 - 13:30 | Poster Session | |
| 13:30 - 14:20 | Dr Hanming Zhou | The weighted X-ray transform and applications. |
| 14:20 - 15:00 | Coffee break | |
| 15:00 - 15:50 | Dr Alden Waters | Recovery of scatterers from phaseless measurements. |