Scientific Organisers:
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Lyonell Boulton, Heriot-Watt University
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Tony Carbery, University of Edinburgh
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Beatrice Pelloni, Heriot-Watt University
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Luz Roncal, Basque Center for Applied Mathematics
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Luis Vega, University of the Basque Country
About:
The aim of this meeting was to develop meaningful interactions between two important European research centres in analysis; the Maxwell Institute in Edinburgh and the Basque Centre for Applied Mathematics in Bilbao.
We organised the programme around three themes which are seeing a recent surge of exciting activity and which cover the core interest of the communities of both nodes:
- harmonic analysis;
- analysis of dispersive PDEs;
- variational techniques.
Both these centres include academics at all careers stages, including a critical mass of PhD students and postdoctoral researchers. The programme included talks from members of the two centres at all career stages, including PhD students, complemented by a substantial amount of time devoted to discussion of research directions, to open problems, and to work in groups.
Programme
| MONDAY 28 OCTOBER 2024 | ||
| Registration and Welcome | ||
| Leonardo Tolomeo, University of Edinburgh | Statistical mechanics of the focusing nonlinear Schrödinger equation and soliton resolution conjecture | |
| Ioaninis Parissis, Basque Center for Applied Mathematics | Directional square functions | |
| Coffee break | ||
| Yannis Galanos, University of Edinburgh | Kakeya-Brascamp-Lieb Inequalities in the Heisenberg Group | |
| Yann Bourroux, University of the Basque Country | Three balls inequalities for Schrödinger operators on periodic graphs | |
| Lunch break | ||
| Sergei Iakunin, Basque Center for Applied Mathematics | Corner singularity in the polygonal vortices and in the reconnection phenomenon | |
| James Coe, University of Edinburgh | Sharp quasi-invariance threshold for the cubic Szeg\H{o} equation | |
| 3x micro talks (15mins each) | ||
| Coffee break | ||
| Lucrezia Cossetti, University of the Basque Country | Spectral stability via the method of multipliers | |
| Justin Forlano, University of Edinburgh | Invariant measures for mKdV and KdV on the line | |
| Welcome Reception, hosted at EFI | ||
| TUESDAY 29 OCTOBER 2024 | ||
| Pedro Caro, Basque Center for Applied Mathematics | An inverse problem for data-driven prediction in quantum mechanics | |
| Oana Pocovnicu, Heriot-Watt University | Invariant Gibbs dynamics for fractional wave equations in negative Sobolev spaces | |
| Coffee break | ||
| Pablo Merino, Basque Center for Applied Mathematics | Pointwise Convergence of the Klein-Gordon Flow | |
| Theo Lavier, Heriot-Watt University | Semi-Discrete Optimal Transport Techniques for the Compressible Semi-Geostrophic Equations | |
| Lunch break | ||
| Hrit Roy, University of Edinburgh | The Bochner--Riesz problem for convex domains | |
| Andrea Olivo, Basque Center for Applied Mathematics | Sharp embeddings between weighted Paley-Wiener spaces | |
| 3x micro talks (15mins each) | ||
| Coffee break | ||
| Maciej Buze, Heriot-Watt University | Barycenters in unbalanced optimal transport | |
| Daniel Eceizabarrena, Basque Centre for Applied Mathematics | Uniform counterexamples to the convergence problem for periodic dispersive equations with polynomial symbols | |
| Workshop Dinner, hosted at Canny Man’s | ||
| WEDNESDAY 30 OCTOBER 2024 | ||
| Jonathan Hickman, University of Edinburgh | Bounds for a planar Pierce—Yung operator | |
| Arghir Zarnescu, Basque Center for Applied Mathematics | On a variational approach to Euler and Navier-Stokes | |
| Coffee break | ||
| Luz Roncal, Basque Center for Applied Mathematics | On Rubio de Francia square function | |
| Lucia Scardia, Heriot-Watt University | Shape Optimisation for nonlocal anisotropic energies | |
| Lunch break | ||
| Working groups - discussion | ||
| Coffee break | ||
| Concluding session |
