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Explore advanced mathematical concepts in this 53-minute conference talk delivered by Julio Rebelo from Université de Toulouse, focusing on approximation on the circle within the broader context of foliations, complex geometry, and Painlevé equations. Delve into sophisticated mathematical theories as part of a special celebration honoring Frank Loray's 60th birthday, organized by the Instituto de Matemática Pura e Aplicada. Examine the intricate relationships between foliation theory, complex geometric structures, and the behavior of Painlevé differential equations through expert mathematical exposition. Gain insights into cutting-edge research in differential geometry and complex analysis from a leading mathematician in the field, presented as part of a comprehensive conference featuring an international scientific committee of renowned experts including representatives from IMPA, Université de Montreal, Université de Rennes, Universidad de Valladolid, and Kobe University.
