13:30 - 15:00
Organisers:
Peter Clarkson, University of Kent
Ian Strachan, University of Glasgow
These seminars will be held on Wednesdays at 1.30pm (unless stated otherwise).
Joining details will be sent on the morning of the seminar.
Seminars will continue to run until March 2021. Details will be posted here in due course.
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.
Upcoming Seminars
27 January 2021
Andrea Brini (Sheffield) - Geometry and integrability from affine Weyl groups
- Frobenius manifolds were introduced by Boris Dubrovin in the early nineties as an axiomatic framework to encode the properties of chiral rings of 2D topological field theories, and at the same time provide a natural stepping stone for the classification of KdV-type, local bihamiltonian integrable hierarchies in one space dimension. While traditional constructions of Frobenius manifolds are given in the quantum co-homology of symplectic manifolds and in singularity theory, a somewhat lesser studied source of Frobenius manifolds and its associated integrable hierarchies arise in Lie theory: in a seminal 1995 paper, Dubrovin and Zhang propose a construction of Frobenius manifolds on the orbits of certain extensions of affine Weyl groups, and propose a Landau--Ginzburg formulation in type A. In this talk I will give a unified picture Landau--Ginzburg description for all Dynkin types. I will also explain how this unlocks simultaneous applications to Frobenius manifolds, topology, integrable systems, Gromov--Witten theory, and five-dimensional gauge theory. This is joint work with K. van Gemst (Sheffield).
3 February 2021
Jonatan Carl Anders Lenells (KTH Royal Institute of Technology) - A new approach to integrable evolution equations on the circle
- I will describe recent work with B. Deconinck and A. S. Fokas, where we propose a new approach for the solution of an integrable evolution equation on the circle, i.e., for the periodic problem. The new approach provides a solution of the problem on the circle which is conceptually analogous to the solution of the problem on the line via the inverse scattering transform.
10 February 2021
Theo Assiotis (Edinburgh) – On the joint moments of characteristic polynomials of random unitary matrices
- I will talk about the joint moments of characteristic polynomials of random unitary matrices and their derivatives. In joint work with Jon Keating and Jon Warren we establish the asymptotics of these quantities for general real values of the exponents as the size N of the matrix goes to infinity. This proves a conjecture of Hughes from 2001. In subsequent joint work with Benjamin Bedert, Mustafa Alper Gunes and Arun Soor we focus on the leading order coefficient in the asymptotics, we connect this to Painleve equations for general values of the exponents and obtain explicit expressions corresponding to the so-called classical solutions of these equations.
17 February 2021
Arno Kuijlaars (KU Leuven) – TBA
24 February 2021
Martin Hallnäs (Chalmers University of Technology) - TBA
Previous Seminars
20 January 2021
- Recording is available here
13 January 2021
Tamara Grava (Bristol/SISSA) - Correlation functions for unitary invariant ensembles and Hurwitz numbers
9 December 2020
Davide Masoero (Lisbon) - Counting Monster Potentials
- Recording is available here
2 December 2020
Cornelia Schiebold (Mid Sweden University) - On particle-like solutions of the two-dimensional Toda lattice
- Slides are available here
25 November 2020
Laszlo Feher (University of Szeged and Wigner RCP, Hungary) - Trigonometric real form of the spin RS model of Krichever and Zabrodin
- Recording is available here
18 November 2020
Patrick Dorey (Durham) - Breaking integrability in classical field theories
- Recording is available here
11 November 2020
Claire Gilson (Glasgow University) - Soliton Solutions of noncommutative anti self dual Yang Mills equations
- Recording is available here
4 November 2020
Beatrice Pelloni (Heriot-Watt University) - The phenomenon of dispersive revivals
- Recording is available here
28 October 2020
Walter Van Assche (KU Leuven) - Orthogonal Polynomials and Random Matrices
- Recording is available here
21 October 2020
Raffaele Vitolo (University of Salento) - Homogeneous Hamiltonian operators, projective geometry and integrable systems
- Recording is available here
14 October 2020
Vincent Caudrelier (Leeds) - Covariant Poisson bracket and r-matrix structure for an integrable hierarchy: role of Lagrangian and Hamiltonian multiforms
- Recording is available here
30 September 2020
Misha Feigin (Glasgow University) - The Saito determinant for Coxeter discriminant strata
- Recording is available here
23 September 2020
Matteo Casati (Kent/Ningbo) - Nonabelian Hamiltonian (integrable) systems: double, lambda and Schouten brackets
- Recording is available here
15 July 2020
Thomas Bothner (KCL) - A threefold way to integrable probabilistic models
- Recording is available here
1 July 2020
Daniele Valeri (University of Glasgow) - Deformations of W-algebras and differential-difference equations
- Recording is available here
24 June 2020
Marco Bertola (SISSA, Italy) - Tyurin data, non-Abelian Cauchy kernels and the Goldman bracket
- Recording is available here
17 June 2020
Marta Mazzocco (University of Birmingham) - Quantum uniformisation and CY algebras
- Recording is available here
10 June 2020
Alfredo Deano (University of Kent) - Painlevé transcendents in non-Hermitian random matrix ensembles
- Recording is available here
3 June 2020
A.P. Veselov (Loughborough) - Geometrization, integrability and knots
- Recording is available here
20 May 2020
Antonio Moro (Northumbria University) - Integrability and complexity in statistical mechanics: thermodynamic limit vs viscous/dispersive regularisation
- Recording 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) - Abelianisation of Meromorphic SL(2)-Connections and the Hitchin Integrable Systems
- Recording is available here
1 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.