Foliations with Small Singular Set in Arbitrary Characteristic

Watch this 18-minute conference talk exploring foliations with small singular sets in arbitrary characteristic, presented as part of a celebration honoring Frank Loray's 60th birthday. Delve into advanced mathematical concepts at the intersection of foliations, complex geometry, and Painlevé equations through research presented by Wodson Mendson from Universidade Federal Fluminense. Gain insights into cutting-edge developments in this specialized area of mathematics, delivered during a prestigious event organized by Instituto de Matemática Pura e Aplicada with an international scientific committee including experts from IMPA, Université de Montreal, Université de Rennes, Universidad de Valladolid, and Kobe University. Explore theoretical foundations and recent advances in foliation theory, particularly focusing on the behavior and properties of foliations when singular sets are constrained to be small, with applications spanning complex geometry and differential equations.