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Regular version of the site

HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics

Lectures on Dispersionless Integrable Hierarchies

Takebe T.

Tokyo: Research Center for Mathematical Physics, Rikkyo Universty, 2014.


Feigin B. L., Gukov S.

Journal of Mathematical Physics. 2020. Vol. 61. No. 012302. P. 1-27.

Book chapter
Links Between Quantum Chaos and Counting Problems

Orlov A. Y.

In bk.: Geometric Methods in Physics XXXVI. Workshop and Summer School, Białowieża, Poland, 2017. Contains papers. Springer, 2019. P. 355-373.

Working paper
Dual description of eta-deformed OSP sigma-models I

Alfimov M., Feigin B. L., Hoare B. et al.

hep-th. arXiv. Cornell University, 2020. No. 2003.xxxxx.

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.

Research are conducted in several inter-related directions and involves close cooperation between mathematicians and mathematical physicists.

These areas include:

  1. Representation theory of vertex algebras and of their quantum analogs (in particular, double affine quantum groups and q-W-algebras);
  2. Developing methods of vertex algebras in low-dimensional Topology and in Quantum Field Theory;
  3. Quantum cohomology of moduli spaces of sheaves and related Geometric Representation Theory and Integrable Systems (in particular, Toda and Calogero systems and their generalizations);
  4. Geometric Langlands correspondence;
  5. Cluster structures on moduli spaces, their geometry and combinatorics;
  6. Combinatorics of Kashiwara crystals in quantum integrable systems.