Virtual Seminar Series - Integrable Systems

Peter Clarkson, University of Kent
Ian Strachan, University of Glasgow

This is the webpage for the Virtual Integrable Systems Seminars.

These seminars will be held on Wednesdays at 1.30pm (unless stated otherwise).

To sign up for this seminar series, please complete this form. Joining details will be sent on the morning of the seminar

If you are interested in giving a seminar, please contact the organisers directly.

If you have any technical questions regarding the use of Zoom (the platform used for these meetings) please email ICMS

Seminars will resume on Wednesday 23 September at 1.30pm (please note earlier start time) and will run through to December. Details will be posted here in due course. If you have already registered for one of the previous seminars, you will be automatically emailed details of future talks nearer the time. 

The dates of the seminars and speakers are as follows:

Future Seminars

Please note these seminars have an earlier start time - 1:30pm (GMT)


25 November: Please note there are two talks on this date.

25 November 09:30 (GMT): Nalini Joshi (Sydney)

Title: Discrete Painlevé equations

Abstract: I will give a review of discrete Painlevé equations, which are dynamical systems that evolve on lattices of affine reflection groups, before describing some new results about their solutions and related Riemann-Hilbert problems.

25 November 13:30 (GMT) Laszlo Feher (University of Szeged and Wigner RCP, Hungary)

Title: Trigonometric real form of the spin RS model of Krichever and Zabrodin

Abstract: In 1995, Krichever and Zabrodin introduced a remarkable family of spin extensions of the Ruijsenaars--Schneider system, working at the level of equations of motion. This pioneering investigation and all earlier studies of the Hamiltonian interpretation of the model were performed in complex holomorphic settings. Based on our joint paper with Fairon and Marshall (see arXiv:2007.08388), we explain that the trigonometric real form of the model emerges from Hamiltonian reduction of an obviously integrable `free' system carried by a spin extension of the Heisenberg double of the U(n) Poisson--Lie group. By utilizing this picture, we describe the Hamiltonian structure of the real trigonometric spin RS model and prove its degenerate integrability.

2 December: Cornelia Schiebold (Mid Sweden University)


Previous Seminars

18 November: Patrick Dorey (Durham)

Breaking integrability in classical field theories

11 November: Claire Gilson (Glasgow University)

Title: Soliton Solutions of noncommutative anti self dual Yang Mills equations

4 November: Beatrice Pelloni (Heriot-Watt University)

Title: The phenomenon of dispersive revivals

A recording of this lecture can be found here.

28 October: Walter Van Assche (KU Leuven)

Title: Orthogonal Polynomials and Random Matrices.

A recording of this lecture can be found here.

21 October: Raffaele Vitolo (University of Salento)

Title: Homogeneous Hamiltonian operators, projective geometry and integrable systems.

A recording of this lecture can be found here.

14 October: Vincent Caudrelier (Leeds)

Title: Covariant Poisson bracket and r-matrix structure for an integrable hierarchy: role of Lagrangian and Hamiltonian multiforms

A recording of this lecture can be found here.

30 September: Misha Feigin (Glasgow University)

Title: The Saito determinant for Coxeter discriminant strata

A recording of this lecture can be found here.

23 September 2020

Matteo Casati (Kent/Ningbo)

Title:Nonabelian Hamiltonian (integrable) systems - double, lambda and Schouten brackets

A recording of this talk can be found here.

15 July 2020
Thomas Bothner (KCL)

Title: A threefold way to integrable probabilistic models

A recording of this talk is available here

1 July 2020
Daniele Valeri (University of Glasgow)
Deformations of W-algebras and differential-difference equations

A recording of this talk is available here

24 June 2020
Marco Bertola (SISSA, Italy)
Tyurin data, non-Abelian Cauchy kernels and the Goldman bracket

A recording of this talk is available here

17 June 2020
Marta Mazzocco (University of Birmingham)
Quantum uniformisation and CY algebras

A recording of this talk is available here .

10 June 2020
Alfredo Deano (University of Kent)
Painlevé transcendents in non-Hermitian random matrix ensembles

A recording of this talk is available here

03 June 2020
A.P. Veselov (Loughborough)
Geometrization, integrability and knots

A recording of this talk is available here

27 May 2020
Rod Halburd (University College London)
Elementary calculations of complexity growth for solutions of discrete equations

20 May 2020
Antonio Moro (Northumbria University)
Integrability and complexity in  statistical mechanics: thermodynamic limit vs viscous/dispersive regularisation

A recording of this talk is available here.

13 May 2020
Paolo Rossi (University of Padova)
Givental theory for F-manifolds and non-Hamiltonian integrable PDEs

6 May 2020
Clare Dunning (University of Kent)
Wronskian Hermite polynomials

29 April 2020
Frank Nijhoff (University of Leeds)

22 April 2020
Nikita Nikolaev (University of Geneva, Switzerland)
Abelianisation of Meromorphic SL(2)-Connections and the Hitchin Integrable System

A recording of this talk is available here

01 April 2020
Peter Clarkson (University of Kent)
Generalised Freud Weights

25 March 2020
Ian Strachan (University of Glasgow)
Miura Transformations from Novikov Algebras


This seminar series is supported as part of the ICMS Online Mathematical Sciences Seminars.