Integrable systems, classical and quantum dynamics of complex systems

Here are the main themes our group is currently working on.

Integrable systems

  • Algebra, representation theory
  • Reflection equations and q-Onsager algebras
  • Open spin chains and Toda field theories
  • Conformal field theory
  • Isomonodromic deformations, Painlevé equations
  • Noninear sigma models

Classical dynamical systems

  • Limit Cycles
  • Applications in cosmology

Quantum dynamics of complex systems

  • Quantum chaos
  • Tunnelling
  • Quantum transport
  • Decoherence

Interactions with others fields

  • Quantum groups, braid groups, representation theory, special functions