Topological recursion is a universal procedure that helps
building connections among enumerative geometry, complex geometry,
intersection theory and integrability. It associates to some initial
data called spectral curve, consisting of a Riemann surface and some
extra data, a doubly indexed family of differentials on the curve, which
often encode interesting enumerative geometric information, such as
volumes of moduli spaces, matrix model correlation functions and
intersection numbers. In this talk I will provide an introduction to
this rich domain, finishing with an overview of the exciting
developments in the field.
Vladimir Rubtsov, Ilia Gaiur
