Name of the project: Cluster algebras and moduli spaces of flat and holomorphic connections
The main objective of this project is the expansion of methods applicable for the computation of the canonical characteristic classes in moduli spaces of complex curves over spaces of flat connections. The modern approach to the computation of integrals of canonical classes is based on topological recursion that allows to recurrently express integrals of characteristic classes. The initial state of the proposed project is the formation of a cluster theory for moduli spaces of curves and the study of their applications in the computation of integrals of canonical classes.
Hosting organization

Field of studies

City

Invited researcher

Time span of the project


Laboratory «Nonlinear and nonlocal equations and their applications»
Peoples' Friendship University of Russia  (RUDN University) 
Maths 
Moscow 
Kuksin Sergei Borisovich
Russia, France 
20222024 
Probabilistic Methods in Analysis
Saint Petersburg State University  (SPbU) 
Maths 
St. Petersburg 
Hedenmalm Haakan Per
Sweden 
20212023 
Laboratory for Interdisciplinary Power Engineering Problems
Ulyanovsk State Technical University  (UlSTU) 
Maths 
Ulyanovsk 
Simos Theodore Elias
Greece 
20212023 