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.