L. Hlavaty: Scientific activities

Classical integrable models - 

Backlund transformations, 

Symmetries of nonlinear differential equations, 

Painleve analysis, 

Principal chiral models.

Quantum integrable models - 

Solutions of Yang-Baxter equations, 

         Spin chains, 

Nonultralocal models.

Quantum groups, braided groups - 

Quantum spaces

Differential calculus on the quantum spaces

Quantized braided groups

Dualities in sigma models and strings -

Classifications of Manin triples and Drinfeld doubles

Poisson-Lie T-pluralities of  sigma models

Conformal invariance of sigma models and vanishing beta equations

Exact solutions of  sigma models in the curved background

Transformation of the boundary conditions under the Poisson-Lie T-pluralities