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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.

New symmetries of gl(N)-invariant Bethe vectors

Lyashik A., Pakuliak S., Ragoucy E. et al.

Journal of Statistical Mechanics: Theory and Experiment. 2019. Vol. 2019. No. 4. P. 1-23.

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
New series of moduli components of rank 2 semistable sheaves on P3 with singularities of mixed dimension

Aleksei Ivanov-Viazemsky.

arXiv:1903.00772. math.AG. 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.