Since the 6th Workshop in 2018, we witnessed a rapid development in the field of combinatorial methods in application to geometry and mathematical physics. We are observing inter-proliferation of two main subjects traditionally presented in the workshop agenda—cluster algebras and topological recursion. It is tempting to see how these two topics can be unified within the mirror symmetry framework, how spectral curves obtained from Landau-Ginzburg potentials motivated by cluster algebras can arise within the classical and quantum topological recursion, and how it all can be interpreted in cohomological field theory framework and be applied to knot theory and knot invariants. Notable is also a modern development of cluster structures in Lie algebras, including classical and quantum algebras of monodromies of Fuchsian systems, and other fascinating topics related to clusters and topological recursion including a modern treatise of Masur–Veech volumes.
We hope to bring together specialists actively working in the field for exchanging ideas in the inspiring scientific environment of early summer in Moscow. The workshop will take place at three locations: the Mathematical Department of the Higher School of Economics (the opening day), the Steklov Mathematical Institute (four next days) and the Skolkovo Institute of Science and Technology (Skoltech) (the last day). The Mathematical Department of the Higher School of Economics is located in downtown Moscow, the Steklov Mathematical Institute is situated near Leninsky Prospect — one of the main Moscow streets — and in the area where most of Academic Institutions and the Moscow State University are located, and the Skoltech is in the outskirts of Moscow (transportation for participants will be provided).
The registration fee is 150 USD (120 Euros) for participants with non-Russian (non-FSU) affiliations (paid upon arrival by those who can cover it from their grants or institutions). This covers also the welcome party and the conference dinner.
Support & Accommodation
For all invited speakers and for a limited number of other participants, with the preference to younger researchers, the organizers will arrange free accommodation in the Professor Guesthouse of the HSE.
All nationals except for some countries of the FSU, South Korea, Israel, and most countries in Central and South America, need visas to enter Russia. Because it takes time to arrange invitation and to proceed the visa application in a Russian consulate, we strongly recommend to ask for your visa at least six weeks prior to the workshop date. We’ll provide an assistance with the visa invitation and registration when in Russia.
Based on a success of our grant applications, the organizers may be able to cover (in full or partially) international travel expenses of the invited speakers. On a case-by-case basis, we’ll hopefully be able to make contributions towards travel expenses of other participants, with a preference to younger researchers. When necessary, we organize transportation from and to Moscow airports.
Contact email of the Organizing Committee