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Regular version of the site

International Laboratory of Representation Theory and Mathematical Physics

Geometric Methods in Physics XXXVI

Orlov A. Y.

Springer, 2019.

On Hurwitz--Severi numbers

Shapiro B., Yurii Burman.

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2019. Vol. XIX. P. 1-13.

Book chapter
From Reflection Equation Algebra to Braided Yangians

Saponov P. A., Gurevich D.

In bk.: Recent Developments in Integrable Systemsand Related Topics of Mathematical Physics. Vol. 273. Springer, 2018. P. 107-129.

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.