n two years passed since the 5th Workshop in 2016, we witnessed a rapid development in the field of combinatorial methods in application to geometry and mathematical physics. Besides topics traditionally present in the workshop agenda, notably, cluster algebras and topological recursion, we are going to organize discussion on new, interdisciplinary in their nature, trends in this field including a newly constructed abstract topological recursion apres Kontsevich and Soibelman, the deepened links to cohomological field theories, and relations to quantum information systems.
We are going to discuss applications to quantum Riemann surfaces and to knot theory and knot invariants. Not in the last place is the 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.
We hope to bring together specialists actively working in the field for exchanging ideas in the inspiring scientific environment of early summer in Moscow.
Chekhov Leonid Olegovich
Lando Sergei Konstantinovich
Krichever Igor Moiseevich
Nechaev Sergei Konstantinovich
Pyatov Pavel Nikolaevich
Sergeev Armen Glebovich
Skolkovo Institute of Science and Technology
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
National Research University Higher School of Economics, Moscow
Interdisciplinary Scientific Center J.-V. Poncelet