HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics

The Laboratory was founded in 2014. The main objective of the laboratory is to develop a common approach to a variety of issues at the interface between the theory of integrable systems and representation theory of quantum and infinite-dimensional groups and algebras.

The laboratory develops several inter-related research directions with close cooperation between mathematicians and mathematical physicists.

The research areas include:

  • representation theory of vertex algebras and of their quantum analogs (in particular, double affine quantum groups and q-W-algebras);
  • developing methods of vertex algebras in low-dimensional topology and in quantum field theory;
  • quantum cohomology of moduli spaces of sheaves and related geometric representation theory and integrable systems (in particular, Toda and Calogero systems and their generalizations);
  • geometric Langlands correspondence;
  • cluster structures on moduli spaces, their geometry and combinatorics;
  • combinatorics of Kashiwara crystals in quantum integrable systems.

Scientific Council
Buryak Alexandr
Evgeny Feigin
Boris Feigin
Sergei Lando
Andrei Marshakov

Staff / Skoltech
Petr Dunin-Barkowski, Senior Research Scientist
Vladimir Losyakov, Senior Research Scientist
Andrei Pogrebkov, Leading Research Scientist
Andrei Semenov, Senior Research Scientist

Staff / HSE Univ.
(see HSE Univ. Faculty of Mathematics web-page)


Working Seminar on Mathematical Physics of
HSE University and Skoltech Center for Advanced Studies
on Wednesdays at 16.20 ( _more )