Local Dynamics of Tangent to the Identity Biholomorphisms - Lecture 3

This lecture explores extensions of results on invariant manifolds for tangent to the identity biholomorphisms in C2, presented by Lorena López-Hernanz as the third part of a series. Delve into collaborative research with Jasmin Raissy, Fernando Sanz, Javier Ribon, Rudy Rosas, and Liz Vivas that builds upon the foundations established in previous lectures about invariant curves for two-dimensional vector fields and 1-dimensional invariant manifolds. The presentation was recorded during the thematic meeting "Foliations, birational geometry and applications" on February 6, 2024, at the Centre International de Rencontres Mathématiques in Marseille, France. Access this 57-minute mathematical exploration and other talks by worldwide mathematicians through CIRM's Audiovisual Mathematics Library, which offers features like chapter markers, keywords, abstracts, bibliographies, and multi-criteria search capabilities.