Degeneration of Rational Maps and Hyperbolic Components - Lecture 1

Explore a 59-minute mathematics lecture from the thematic meeting "Arithmetic, Algebraic and Analytics Dynamics" that delves into the degeneration of rational maps and hyperbolic components. Learn how degenerating sequences of rational maps can be analyzed through geometric and arithmetic tools, with applications to hyperbolic component boundaries, length spectrum, and rescaling limits. Examine the distinctions between sequences and holomorphic families in this comprehensive presentation recorded at the Centre International de Rencontres Mathématiques in Marseille, France. Access this lecture through CIRM's Audiovisual Mathematics Library, which offers enhanced features including chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification for targeted viewing and research purposes.