Integrable systems, Frobenius manifolds and nonlinear waves | Mathematics Area - SISSA

Integrable systems, Frobenius manifolds and nonlinear waves

Research Group:

Geometry and Mathematical Physics

Poisson Vertex Algebras and Applications to Integrable Systems

The goal of this course is to give an introduction to the theory of Poisson vertex algebras and its applications to the theory of integrable systems. Then we will study in detail the Drinfeld-Sokolov Hamiltonian reduction construction of classical W-algebras and the corresponding integrable hierarchies of Hamiltonian equations.

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Higher Spin Generalization of the 6-Vertex Model and Macdonald Polynomials

Read more about Higher Spin Generalization of the 6-Vertex Model and Macdonald Polynomials

Quantum Field Theory Techniques in Graphical Enumeration

Read more about Quantum Field Theory Techniques in Graphical Enumeration

Marie Curie Action IRSES - Random and Integrable Models in Mathematical Physics

Read more about Marie Curie Action IRSES - Random and Integrable Models in Mathematical Physics

Classical W-algebras within the theory of Poisson vertex algebras II

Read more about Classical W-algebras within the theory of Poisson vertex algebras II

Determinantal random point fields, gap probabilities and the Riemann-Hilbert approach

Read more about Determinantal random point fields, gap probabilities and the Riemann-Hilbert approach

Crossings and Nestings of Complete Matchings

Read more about Crossings and Nestings of Complete Matchings

On the bi-Hamiltonian structure of WDVV equations

Read more about On the bi-Hamiltonian structure of WDVV equations

Classical Mechanics with One Degree of Freedom and the Benney Hydrodynamic Chain

Read more about Classical Mechanics with One Degree of Freedom and the Benney Hydrodynamic Chain

Asymptotics of orthogonal polynomials associated to a random normal matrix model (IV)

Read more about Asymptotics of orthogonal polynomials associated to a random normal matrix model (IV)

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