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 –
Evgeny Feigin
Boris Feigin
Sergei Lando
Andrei Marshakov

Staff –
Bershtein Mikhail – Research Scientist
Bolbachan Vasily – Research Assistant
Buryak Alexandr – Senior Research Scientist
Chaban Igor – Research Assistant
Dunin-Barkowski Petr – Senior Research Scientist
Feigin Boris – Senior Research Scientist
Finkelberg Mikhail – Senior Research Scientist
Grigorev Andrei – Research Assistant
Ilyin Alexey – Junior Research Scientist
Khoroshkin Anton – Senior Research Scientist
Litvinov Alexey – Senior Research Scientist
Losyakov Vladimir – Senior Research Scientist
Pogrebkov Andrei – Leading Research Scientist
Rybnikov Leonid – Senior Research Scientist
Safonkin Nikita – Research Assistant
Takebe Takashi – Senior Research Scientist
Uvarov Filipp – Research Scientist
Vargulevich Angelina – Research Assistant
Zotov Andrey – Research Scientist

SEMINARS

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

CONFERENCES

ONLINE School-Conference
“Vertex Algebras and Tensor Categories”
November 23-27, 2020
The conference is hosted by the HSE-Skoltech International Laboratory of Representation Theory and Mathematical Physics

2nd Spring Student School on Mathematics and Physics
Zoom, April 30 – May 8, 2020