Distinguished Lecture Series 201719 Oct 2016, by Events in
The 2017 Distinguished Lecture Series will be given by Maciej Zworski of UC Berkeley.
The talks will be held over three days:
Monday 27th March 2017 16.00, followed by a wine reception in the lecture theatre foyer from 17.00
Tuesday 28th March 2017 16.00
Wednesday 29th March 2017 16.00
Preceded by coffee in the lecture theatre foyer from 15.30 each day.
Pugsley Theatre, Queen’s Building, University Walk
Scattering by the sphere
Abstract: Next year brings the 100th anniversary of Watson’s classic paper “The diffraction of electric waves by the earth” and I would like to use this as a welcome excuse to review various results about scattering by spherical obstacles. Is the sphere determined by its scattering resonances among other obstacles? Do waves decay faster or slower for other obstacles of the same diameter? What about resonances of hollow spheres, that is, of Helmholtz resonators? What about spheres in hyperbolic space?
Abstract: Resonances introduced in the first lecture can be seen in long time asymptotics of correlations for the wave equation. Many other physical systems are described using evolution of states. Observations are then based on correlations, that is on measuring an evolved state against another state. The time representation can be replaced by the frequency representation (by taking the Fourier transform) which produces the power spectrum. Riemann first proposed, in a different language, that fine features of correlations can be understood by continuing the power spectrum into complex frequencies. Bounds on imaginary parts of singularities of that continuation can be of interest in different settings and I will present various recent results.
Support for travel for UK based PhD students may be available, please contact firstname.lastname@example.org email@example.com with any requests by Tuesday 28th February 2017.
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