The theory of resurgence was introduced by Jean Ecalle in the 1980’s, partially motivated by the study of perturbative series in quantum theory. In the last years, there has been a renewed interest in this theory, with applications ranging from lattice gauge theory to string theory and random matrix theory. More recently, ideas of resurgence have been applied in the context of quantum topology and geometry, and connections are emerging with many important developments in mathematical physics, from topological recursion to wall-crossing and BPS states.
The main goal of this workshop is to explore the connections between quantization and resurgence. We want to address the impact of new developments in resurgence on the foundations and techniques in quantum theory, with particular attention to the recent interface with more geometric and topological ideas. Applications of resurgence theory to string theory and quantum field theory models will be also in the agenda. Another topic we plan to address in the workshop is the construction of a unified framework incorporating topological recursion and resurgence.