WHT
5 August 2019 to 30 August 2019
The Wiener-Hopf technique enables us to solve numerous physical problems motivated by real world applications modelled, for example, by partial differential equations and stochastic processes. The Wiener-Hopf technique is currently used in a wide range of disciplines including acoustics, finance, Lèvi processes, hydrodynamics, elasticity, potential theory and electromagnetism.
The theory of scalar Wiener-Hopf equations is now very rich and well developed. In contrast, much less is known about matrix Wiener-Hopf equations. These are a natural extension of the scalar case, and enable us to model more advanced problems. As it stands, solutions to matrix Wiener-Hopf problems have to be constructed on a case-by-case basis, or in an approximate fashion. The focus of this programme will be on matrix Wiener-Hopf equations, constructive numerical methods and applications. The three main aims will be:
There are numerous approximate methods for Wiener-Hopf matrix factorisation. However, there is no clear picture for deciding when a method is appropriate or numerically efficient. Consequently, approximate Wiener-Hopf factorisation is highly specialised and a difficult subject for non-experts. An important outcome of the programme will be to make this more routine by filling the outstanding gaps in the literature. There is also a lot of scope for the theoretical study of methods motivated by applications. This requires a close collaboration between mathematicians from the pure and applied communities. Developing existing methods into working algorithms and making them freely available in a toolbox will make the Wiener-Hopf technique more easily accessible for applications than is currently the case.
There are several disjoint communities who rely on the Wiener-Hopf method, and developments in one field often go unnoticed in another. There is much to be gained by generalising the developments in one area to solve open problems in other areas.
We will consider the area as a whole, pose open problems and map out promising directions. This will highlight new developments and applications, and make the area more attractive to young researchers.
The above aims will be achieved by bringing together internationally leading experts in the Wiener-Hopf technique from diverse areas and catalyse new interactions between them. There will be an emphasis on enabling young researchers to meet and interact with established experts.
Click here to download the programme's final scientific report
12 August 2019 to 16 August 2019
1 July 2024 to 5 July 2024
Tuesday 6th August 2019 | |||
---|---|---|---|
09:00 to 10:15 |
David Abrahams Isaac Newton Institute |
Room 1 | |
10:30 to 11:45 |
David Abrahams Isaac Newton Institute |
Room 1 | |
12:00 to 13:15 |
Andrey Shanin Moscow State University ; Raphael Assier University of Manchester |
Room 1 | |
14:15 to 15:30 |
Michael Nieves Keele University |
Room 1 | |
15:45 to 17:00 |
Alexey Kuznetsov York University (Canada) |
Room 1 | |
Wednesday 7th August 2019 | |||
---|---|---|---|
09:00 to 10:15 |
Andrey Shanin Moscow State University ; Raphael Assier University of Manchester |
Room 1 | |
10:30 to 11:45 |
Guido Lombardi Politecnico di Torino ; J.M.L. Bernard ENS de Cachan |
Room 1 | |
12:00 to 13:15 |
Sheehan Olver Imperial College London |
Room 1 | |
14:15 to 15:30 |
David Abrahams Isaac Newton Institute |
Room 1 | |
15:45 to 17:00 |
Frank Speck Universidade de Lisboa |
Room 1 |
Thursday 8th August 2019 | |||
---|---|---|---|
09:00 to 10:15 |
Frank Speck Universidade de Lisboa |
Room 1 | |
10:30 to 11:45 |
Guido Lombardi Politecnico di Torino ; J.M.L. Bernard ENS de Cachan |
Room 1 | |
12:00 to 13:15 |
Andrey Shanin Moscow State University ; Raphael Assier University of Manchester |
Room 1 | |
14:15 to 15:30 |
Guido Lombardi Politecnico di Torino ; J.M.L. Bernard ENS de Cachan |
Room 1 | |
15:45 to 17:00 |
Alexey Kuznetsov York University (Canada) |
Room 1 | |
Friday 9th August 2019 | |||
---|---|---|---|
09:00 to 10:15 |
Andrey Shanin Moscow State University ; Raphael Assier University of Manchester |
Room 1 | |
10:30 to 11:45 |
Guido Lombardi Politecnico di Torino ; J.M.L. Bernard ENS de Cachan |
Room 1 | |
12:00 to 13:15 |
Sheehan Olver Imperial College London |
Room 1 | |
14:15 to 15:30 |
Michael Nieves Keele University |
Room 1 | |
15:45 to 17:00 |
Frank Speck Universidade de Lisboa |
Room 1 |
Friday 23rd August 2019 | |||
---|---|---|---|
15:00 to 15:30 |
Matthew Nethercote University of Manchester |
Room 2 | |
15:30 to 16:00 |
Peter Baddoo University of Cambridge |
Room 2 |
Wednesday 28th August 2019 | |||
---|---|---|---|
10:00 to 11:00 |
Andrey Shanin Moscow State University |
Room 2 | |
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