Geometry and Integrability

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Geometry and Integrability

 12 - 16 May 2025

ICMS, Bayes Centre, Edinburgh

 Enquiries

Public Applications for this event have closed.

Scientific Organisers:

  • Yuri Berest, Cornell University
  • Misha Feigin, University of Glasgow
  • Oleg Chalykh, University of Leeds
  • 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 will be 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 will also be 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
09.00 - 09.50 Registration and Refreshments
09.50 - 10.00 Welcome and Housekeeping
10.00 - 11.00 Catharina Stroppel (TBC), Department of Mathematics Bonn
11.00 - 11.30 Refreshments
11.30 - 12.15 Marta Mazzocco, ICREA, Barcelona Segre surfaces for the Painlevé equations
12.15 - 13.00 Rod Halburd, University College London Painlevé equations in complex function theory
13.00 - 14.30 Lunch
14.30 15.15 Alexander Stokes, Waseda University Monodromy of monodromy manifolds and symmetries of Sakai surfaces
15.15 - 16.00 Andy Hone, University of Kent Special solutions of discrete Painleve equations and quantum minimal surfaces
16.00 - 16.30 Refreshments
16.30 - 17.15 Leon Takhtajan, Stony Brook University TBC
17.15 - 18.15 Welcome Reception
TUESDAY 13 MAY 2025
09.15 - 10.00 Evgeny Ferapontov, Loughborough University Involutive scroll structures and heavenly type hierarchies
10.00 - 10.45 Boris Konopelchenko, INFN, Sezione di Lecce Integrable equations, geometry and all that
10.45 - 11.15 Refreshments
11.15 - 12.15 Nicolai Reshetikhin, Tsinghua University Low dimensional Liouville tori in integrable systems.
12.15 - 13.00 Martin Hallnas, Chalmers University of Technology Vertex operators and deformed Macdonald-Ruijsenaars operators
13.00 - 14.30 Lunch
14.30 - 15.15 Maxime Fairon, University Bourgogne Europe TBC
15.15 - 16.00 Vladimir Novikov, Loughborough University Symmetry approach for differential-difference equations
16.00 - 16.30 Refreshments
16.30 - 17.30 Poster Session
WEDNESDAY 14 MAY 2025
09.15 - 10.00 Alexey Bolsinov, Loughborough University Geodesically equivalent metrics and Nijenhuis operators
10.00 - 10.45 Boris Khesin, University of Toronto Fluids, diffeomorphisms, geodesics, and generalized flows
10.45 - 11.15 Refreshments
11.15 - 12.15 Alexander Bobenko, Technische Universität Berlin Orthogonal rings and discrete integrable systems
12.15 - 13.00 Yuri Suris, Technische Universität Berlin Discrete Painlevé equations and pencils of quadrics in P^3
13.00 Lunch & Free Afternoon
THURSDAY 15 MAY 2025
09.15 - 10.00 Michael Shapiro, Michigan State University Cluster structure of Teichmueller space of closed geodesics.
10.00 - 10.45 Vladimir Fock, Strasbourg University Clusters and Steinberg symbols
10.45 - 11.15 Refreshments
11.15 - 12.15 Pavel Etingof, MIT Periodic pencils of flat connections and their p-curvature
12.15 - 13.00 Rinat Kedem, University of Illinois Baxter operators via cluster structures for Toda-like chains
13.00 - 14.30 Lunch
14.30 - 15.15 Rei Inoue, Chiba University Quantized 6-vertex model on a torus and tetrahedron equations
15.15 - 16.00 Konstanze Rietsch, King's College London A tropical Edrei Theorem
16.00 - 16.30 Refreshments
16.30 - 17.15 Franco Magri, Universita di Milano Bicocca The Jacobi form of Soliton equations
19.00 Workshop Dinner
FRIDAY 16 MAY 2025
09.15 - 10.00 Yuri Berest, Cornell University TBC
10.00 - 10.45 Mykola Matviichuk, Lancaster University Deformations of log-canonical Poisson brackets with an open T-leaf
10.45 - 11.15 Refreshments
11.15 - 12.15 Giovanni Felder, ETH Zurich Orthogonal polynomials with complex densities and quantum minimal surfaces
12.15 - 13.00 Alexander Mikhailov, University of Leeds Commutative Poisson algebras and non-Abelian Hamiltonian systems
13.00 Lunch & End of Workshop

Sponsors and Funders:

The workshop is organised in partnership with the Clay Mathematics Institute and Heilbronn Institute for Mathematical Research

  • Clay
  • Heilbronn