ISMP Lunch Seminar - Autumn 2019

Except when indicated otherwise, meetings are on Wednesday from 1pm to 2pm in room 311b


Date Speaker Title
2 October Maxime Fairon Hamiltonian reduction (and Calogero-Moser systems)
9 October (No seminar - School meeting)
16 October Francesco Giglio Conservation laws methods to mean field models
23 October Andrea Brini
(Room 311b booked for 12pm-2pm, Room 116 booked for 2pm-3pm)
Landau-Ginzburg mirror symmetry for orbits of extended affine Weyl groups
30 October Misha Feigin Quantum Calogero-Moser systems
6 November Maali Alkadhem Trigonometric Solutions of WDVV Equations
13 November Maxime Fairon Classical superintegrability
20 November Misha Feigin Quantum Hamiltonian reduction in relation with Calogero-Moser system
27 November Ian Strachan From Magri to Lax
4 December (No seminar - School meeting)
11 December Daniele Valeri A brief introduction to vertex algebras

Abstracts


Maxime Fairon - Hamiltonian reduction (and Calogero-Moser systems)

I will emphasise how, starting from a trivial integrable system on a space of matrices, it is possible to construct the Calogero-Moser system by restriction of the initial phase space. I will then rigorously define this restriction method, which is called Hamiltonian reduction. Time allowing, I will give more examples related to the family of Calogero-Moser systems.

Francesco Giglio - Conservation laws methods to mean field models

Recent studies show that many paradigmatic mean field models in statistical thermodynamics can be formulated in terms of c-integrable conservation laws of hydrodynamic type with prescribed initial conditions. The occurrence of phase transitions in such models is explained naturally in terms of the breaking mechanism of solutions to hyperbolic conservation laws, with the consequent emergence and propagation of classical shock waves. I will introduce the subject and discuss some relevant mean field models for simple and nematic fluids, as applications of scalar and multidimensional conservation laws, respectively.

Andrea Brini - Landau-Ginzburg mirror symmetry for orbits of extended affine Weyl groups

Misha Feigin - Quantum Calogero-Moser systems

Maali Alkadhem - Trigonometric Solutions of WDVV Equations

We consider trigonometric solutions of Witten-Dijkgraaf-Verlinde-Verlinde equations corresponding to configurations of vectors with multiplicities. We describe procedures of taking subsystems and restrictions in such configurations leading to new solutions. New example includes a family of BC_n type configurations.

Maxime Fairon - Classical superintegrability

Misha Feigin - Quantum Hamiltonian reduction in relation with Calogero-Moser system

Ian Strachan - From Magri to Lax

Daniele Valeri - A brief introduction to vertex algebras


Back to top of page