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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

Lectures on Dispersionless Integrable Hierarchies

Takebe T.

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

Painlevé equations from Nakajima–Yoshioka blowup relations

Bershtein M., Shchechkin A.

Letters in Mathematical Physics. 2019. Vol. 109. No. 11. P. 2359-2402.

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
Recursions for rational q,t-Catalan numbers

Gorsky E., Mazin M., Vazirani M.

math. arxive. 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.