Schedule 2024
5/2/2024 11-1 FORTH THIRD BUILDING, Second Floor, Room Γ324: Definition of Riemann-Hilbert problems in the complex plane across the real line. RHP for Toda, NLS & KdV.
9/2/2024 11-1 FORTH THIRD BUILDING, Second Floor, Room Γ324: General definition of Riemann-Hilbert problems. Scalar RHP. RHP for orthogonal polynomials.
12/2/2024 11-1 FORTH THIRD BUILDING, Second Floor, Room Γ324: Basic facts about the Cauchy and Hilbert operators. Rigorous statement of the Plemelj formulae. RHPs for orthogonal polynomials. Asymptotic statement without proof. Deformation of RHPs.
16/2/2024 11-1 FORTH THIRD BUILDING, Second Floor, Room Γ324: Connection with singular integral equations.
19/2/2024 1-3 MATHEMATICS BUILDING, Room B214: Proof of the Plemelj formulae and basic estimates for the Cauchy operators.
23/2/2024 3-5 MATHEMATICS BUILDING, Room B214: Proof of basic estimates for the Cauchy and Hilbert operators.
1/3/2024 11-1 MATHEMATICS BUILDING, Room A208: Variational equilibrium problem and variational conditions. Explicit solution in the simplest case.
4/3/2024 3-5 MATHEMATICS BUILDING, Room A212: Deformation. The g-function. Reduction to a model problem.
8/3/2024 1-3 FORTH THIRD BUILDING, Second Floor, Room Γ324: Solution of the model problem. Short digression on random matrices.
15/3/2024 11-1 MATHEMATICS BUILDING, Room A208: Local parametrices.
22/3/2024 11-1 MATHEMATICS BUILDING, Room A208: PDE asymptotics. Semiclassical NLS.