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Regular version of the site

International Laboratory of Representation Theory and Mathematical Physics

Publications
Book
Geometric Methods in Physics XXXVI

Orlov A. Y.

Springer, 2019.

Article
On Solutions of the Fuji-Suzuki-Tsuda System

Gavrylenko P., Iorgov N., Lisovyy O.

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2018. Vol. 14. P. 1-27.

Book chapter
REPRESENTATION THEORY OF QUANTIZED GIESEKER VARIETIES

Лосев И. В.

In bk.: Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant. Vol. 326. Birkhäuser, 2018. Ch. 11. P. 273-314.

Working paper
Cluster Toda chains and Nekrasov functions

Bershtein M., Gavrylenko P., Marshakov A.

arxiv.org. math. Cornell University, 2018

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.