The topological recursion of Eynard-Orantin has become known as a powerful recursive formalism in mathematical physics. Although it originated from the study of Hermitian matrix models, it turns out that topological recursion has its own life and it has been applied to Gromov-Witten theory, Hurwitz theory, and more. Thanks to the celebrated Witten-Kontsevich theorem and its generalisations, it has been shown that topological recursion is also related to the KP and KdV hierarchy. Moreover, one can utilise topological recursion to construct a so-called quantum curve which exhibits a connection to Higgs bundles and the Painlevé equations.

Quantities computed by topological recursion are typically formal, divergent series with respect to the perturbation parameter h, and thus, a natural question is: what is its resurgence structure (i.e., the Borel summability and Stokes structure)? The resurgence structure of topological recursion has drawn strong attentions in the last few years, and many open questions are yet to be uncovered. In this phase, this workshop focuses on an intersection between topological recursion, quantum curves, and resurgence in order to explore new research directions. This workshop also serves as a platform for researchers in related subjects to discuss their recent interests and to trigger new collaborations.