Appears in collection : 2023 - T3 - WS3 - Topical day: Elimination for functional equations

The goal of this exploratory talk is to present various functional equations related to the enumeration of maps and the study of various combinatorial parameters thereof. In particular, we'll concern ourselves with questions such as: how are these equations related and can they be inter-derived by combinatorial or differentially-algebraic methods?

This presentation draws from material from ongoing joint work with Olivier Bodini and Konstantinos Tsagkaris.