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 |
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 modelsRecent 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 groupsMisha 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 superintegrabilityMisha Feigin - Quantum Hamiltonian reduction in relation with Calogero-Moser system
Ian Strachan - From Magri to Lax
Daniele Valeri - A brief introduction to vertex algebras