5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and
Cohomological Field Theories (June 6–11, 2016, Independent Moscow University, Steklov Mathematical Institute, Moscow)
On the workshop, we are going to cover two years of the development of combinatorial methods in geometry and mathematical physics. Besides topics that are traditionally present in the workshop agenda, notably, cluster algebras and topological recursion, we are going to organize discussion on new trends in the field including applications to cohomological field theories and the related combinatorial problems related to enumerations of maps loosely called Hurwitz numbers. We also address the rapidly developing applications to quantum Riemann surfaces and to knot theory and knot invariants. We are also going to cover the development of topological recursion as regarding Gromov--Witten invariants, Hitchin systems, and other non-Abelian-flavored applications.