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Monica Musso, University of Bath
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Massimo Grossi, Universita' di Roma La Sapienza
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Asma Hassannezhad, University of Bristol
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Alessandro Savo, Universita' di Roma La Sapienza
About:
Geometric analysis has intrigued mathematicians for centuries and remains a vibrant area of modern mathematics. Central to this field are the formulation of both linear and nonlinear partial differential equations (PDEs) on manifolds and the minimization of energy functionals in infinite-dimensional spaces. Our workshop will focus on four closely interconnected areas within geometric analysis: characterizing solutions to PDEs, Euler equations, minimal surface theory, and spectral geometry. The event aims to bring together leading experts and early-career researchers from around the world to discuss the latest advancements, exchange ideas, and explore major challenges and open problems in the field.
We acknowledge the support of the London Mathematical Society and Glasgow Mathematical Journal Trust. The event is organised in partnership with the Clay Mathematics Institute.
Programme
| MONDAY 16 JUNE 2025 | ||
| 09.00–09.15 | Housekeeping and welcome by ICMS | |
| 09.15-09:45 | Introduction by organisers | |
| 09.45-10.30 | Juan Dávila, University of Bath | Overhanging water waves in the presence of vorticity |
| 10.30-11.00 | Coffee Break | |
| 11.00-11.45 | Manuel del Pino, University of Bath | Delaunay-type compact equilibria in the liquid drop model |
| 11.45-12.30 | Katie Gittins, Durham University | Upper bounds for Steklov eigenvalues, ratios and gaps |
| 12.30-14.00 | Lunch | |
| 14.00-14.45 | Rowan Juneman, University of Bath | Vortex dynamics for the Gross-Pitaevskii equation |
| 14.45-15.30 | Angela Pistoia, Sapienza University of Rome | On some properties of Steklov eigenfunctions |
| 15.30-16.00 | Coffee Break | |
| 16.00-17.00 | Michael Struwe, ETH Zurich | The prescribed curvature flow on the disc |
| 18:00-19:00 | Welcome reception | |
| TUESDAY 17 JUNE 2025 | ||
| 09.00-09.45 | Melanie Rupflin, University of Oxford | Quantitative estimates for almost harmonic maps |
| 09.45-10.30 | Michael Levitin, University of Reading | |
| 10.30-11.00 | Coffee Break | |
| 11.00-11.45 | Michail Karpukhin, UCL | Eigenvalues and minimal surfaces |
| 11.45-12.30 | Jean Lagacé, King's College London | A canonical foliation for the bubble-sheet singularities of geometric flows |
| 12.30-14.00 | Lunch | |
| 14.00-14.45 | Andrea Bisterzo, Università degli Studi di Milano-Bicocca | |
| 14.45-15.30 | Francesca Gladiali, Università degli studi di Sassari | Title |
| 15.30-16.00 | Coffee Break | |
| 16.00-18.00 | Informal discussion | |
| 18.00 | Dinner | |
| WEDESDAY 18 JUNE 2025 | ||
| 09.00-09.45 | Bruno Colbois, University of Neuchâtel | Title |
| 09.45-10.30 | Luigi Provenzano, Sapienza Università di Roma | Can one hear the conformal class of a surface? |
| 10.30-11.00 | Coffee Break | |
| 11.00-11.45 | Giusi Vaira, Università degli Studi di Bari Aldo Moro | The Brezis - Nirenberg problem in low dimensions |
| 11.45-12.30 | Open session | |
| 12.30-14.00 | Lunch | |
| 14.00-18.00 | Free afternoon | |
| 18.00 | Dinner | |
| THURSDAY 19 JUNE 2025 | ||
| 09.00-09.45 | Samuel Perez-Ayala, Haverford College | Eigenvalue estimates on asymptotically hyperbolic spaces and their submanifolds |
| 09.45-10.30 | Romain Petrides, Université Paris Cité | |
| 10.30-11.00 | Coffee Break | |
| 11.00-11.45 | Iosif Polterovich, Université de Montréal | |
| 11.45-12.30 | David Ruiz, University of Granada | Compactly supported solutions to the stationary 2D Euler equations with noncircular streamlines |
| 12.30-14.00 | Lunch | |
| 14.00-15.30 | Informal discussion | |
| 18.00 | Conference Dinner |
