Scientific Organisers:
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Yuri Berest, Cornell University
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Misha Feigin, University of Glasgow
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Oleg Chalykh, University of Leeds
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Sara Lombardo, Heriot-Watt University
About:
The area of integrable systems is a large and active area of research with lots of fruitful connections with algebra, geometry, analysis and theoretical physics. The workshop is devoted to interactions between integrability and geometry, highlighting recent developments where there has been substantial progress both in terms of establishing new connections and new structures.
The workshop was centred around the following overlapping topics: Cherednik algebras and many-body problems; Poisson geometry, deformations and quantisation; Frobenius manifolds; discrete geometry and discrete dynamics.
The workshop was also an occasion to celebrate the 70th birthday of Alexander Veselov who made foundational contributions to Integrable Systems and related areas.
Programme:
Please Note: the programme times and speakers are subject to change.
| MONDAY 12 MAY 2025 | ||
| Registration and Refreshments | ||
| Welcome and Housekeeping | ||
| Alexander Mikhailov, University of Leeds | Commutative Poisson algebras and non-Abelian Hamiltonian systems | |
| Refreshments | ||
| Marta Mazzocco, ICREA, Barcelona | Segre surfaces for the Painlevé equations | |
| Rod Halburd, University College London | Painlevé equations in complex function theory | |
| Lunch | ||
| Alexander Stokes, Waseda University | Monodromy of monodromy manifolds and symmetries of Sakai surfaces | |
| Andy Hone, University of Kent | Special solutions of discrete Painleve equations and quantum minimal surfaces | |
| Refreshments | ||
| Leon Takhtajan, Stony Brook University | Supersymmetry and trace formulas | |
| Welcome Reception | ||
| TUESDAY 13 MAY 2025 | ||
| Evgeny Ferapontov, Loughborough University | Involutive scroll structures and heavenly type hierarchies | |
| Boris Konopelchenko, INFN, Sezione di Lecce | Integrable equations, geometry and all that | |
| Refreshments | ||
| Nicolai Reshetikhin, Tsinghua University | Low dimensional Liouville tori in integrable systems. | |
| Martin Hallnas, Chalmers University of Technology | Vertex operators and deformed Macdonald-Ruijsenaars operators | |
| Lunch | ||
| Maxime Fairon, University Bourgogne Europe | Towards classical supersymmetric CM systems from quivers | |
| Vladimir Novikov, Loughborough University | Symmetry approach for differential-difference equations | |
| Refreshments | ||
| Poster Session | ||
| WEDNESDAY 14 MAY 2025 | ||
| Alexey Bolsinov, Loughborough University | Geodesically equivalent metrics and Nijenhuis operators | |
| Boris Khesin, University of Toronto | Fluids, diffeomorphisms, geodesics, and generalized flows | |
| Refreshments | ||
| Alexander Bobenko, Technische Universität Berlin | Orthogonal rings and discrete integrable systems | |
| Yuri Suris, Technische Universität Berlin | Discrete Painlevé equations and pencils of quadrics in P^3 | |
| Lunch & Free Afternoon | ||
| THURSDAY 15 MAY 2025 | ||
| Michael Shapiro, Michigan State University | Cluster structure of Teichmueller space of closed geodesics. | |
| Vladimir Fock, Strasbourg University | Clusters and Steinberg symbols | |
| Refreshments | ||
| Pavel Etingof, MIT | Periodic pencils of flat connections and their p-curvature | |
| Rinat Kedem, University of Illinois | Baxter operators via cluster structures for Toda-like chains | |
| Lunch | ||
| Rei Inoue, Chiba University | Quantized 6-vertex model on a torus and tetrahedron equations | |
| Konstanze Rietsch, King's College London | A tropical Edrei Theorem | |
| Refreshments |
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| Franco Magri, Universita di Milano Bicocca | The Jacobi form of Soliton equations | |
| Workshop Dinner | ||
| FRIDAY 16 MAY 2025 | ||
| Yuri Berest, Cornell University | Quasi-flag manifolds and moment graphs | |
| Mykola Matviichuk, Lancaster University | Deformations of log-canonical Poisson brackets with an open T-leaf | |
| Refreshments | ||
| Konstantin Khanin, BIMSA, China and University of Toronto | Integrability and Universality in Random 2D Geometry - another look at the KPZ (Kardar-Parisi-Zhang) problem | |
| Lunch & End of Workshop |
Sponsors and Funders:
The workshop is organised in partnership with the Clay Mathematics Institute and Heilbronn Institute for Mathematical Research
