On the Combinatorics of One Variable Catalytic Equation

Explore the combinatorics of one-variable catalytic equations in this 31-minute conference talk. Delve into functional equations with divided differences, also known as catalytic equations or discrete differential equations, which play a central role in map enumeration and appear in various other enumeration problems. Discover how bijective combinatorics techniques originally developed for maps can be extended to address generic equations of this type. Learn about the mathematical foundations and applications of these equations through insights from joint research with Enrica Duchi, gaining understanding of advanced combinatorial methods and their broader applications in mathematical enumeration.