Integrable systems, Frobenius manifolds and nonlinear waves

Research Group:

Nonlocal Poisson vertex algebras and Hamiltonian operators of third order

tau functions for Painleve’ equations

Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data

Deformations and Isomonodromic Deformations at an Irregular Singularity with Coalescing Eigenvalues

The Femi-Pasta-Ulam-Tsingou problem: new developments in the framework of the Wave Turbulence Theory

Quasi-diagonalization of Hankel operators and rational approximations of singular functions

Quantum Cohomology of Grassmannians and Distribution of Prime Numbers

Tau functions in integrable systems

Exact WKB analysis for continuous and discrete Painlev\'e equations --- Stokes geometry, connection formula and wall-crossing formula

Higgs bundles and Bethe Ansatz

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Mathematics

Integrable systems, Frobenius manifolds and nonlinear waves

Nonlocal Poisson vertex algebras and Hamiltonian operators of third order

tau functions for Painleve’ equations

Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data

Deformations and Isomonodromic Deformations at an Irregular Singularity with Coalescing Eigenvalues

The Femi-Pasta-Ulam-Tsingou problem: new developments in the framework of the Wave Turbulence Theory

Quasi-diagonalization of Hankel operators and rational approximations of singular functions

Quantum Cohomology of Grassmannians and Distribution of Prime Numbers

Tau functions in integrable systems

Exact WKB analysis for continuous and discrete Painlev\'e equations --- Stokes geometry, connection formula and wall-crossing formula

Higgs bundles and Bethe Ansatz

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Integrable systems, Frobenius manifolds and nonlinear waves

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