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Regular version of the site
  • HSE University
  • International Laboratory of Representation Theory and Mathematical Physics

International Laboratory of Representation Theory and Mathematical Physics

Publications
Book
Lectures on Dispersionless Integrable Hierarchies

Takebe T.

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

Article
Towards trigonometric deformation of 𝔰𝔩ˆ2 coset VOA

Feigin B. L., Jimbo M., Mukhin E.

Journal of Mathematical Physics. 2019. Vol. 60. No. 7. P. 0735071-07350716.

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
Odd supersymmetrization of elliptic R-matrices

A. Levin, M. Olshanetsy, A. Zotov.

math-ph. arXiv:1910.05712. Cornell University, 2019

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. Quantum cohomology in the theory of integrable systems;
  2. Questions of mirror symmetry;
  3. Multidimensional hypergeometric functions and geometric representation theory;
  4. Elliptic conformal blocks and elliptic hypergeometric functions;
  5. Geometric Langlands correspondence;
  6. Combinatorial development, homology and geometric methods in the theory of moduli spaces of various geometric and analytic structures with applications to problems of mathematical physics.