The laboratory was founded in 2014. 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.
Case studies are conducted in several related to each other directions and involve close cooperation between mathematicians and mathematical physicists.
These areas include:
- quantum cohomology in the theory of integrable systems;
- problems of mirror symmetry of mirror symmetry;
- multidimensional hypergeometric functions and geometric representation theory;
- elliptic conformal blocks and elliptic hypergeometric functions;
- geometric Langlands correspondence;
- development of combinatorial, homology and geometric methods in the theory of moduli spaces of various geometric and analytic structures with applications to problems of mathematical physics.
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