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Watch this 18-minute conference talk exploring explicit formulas for first integrals of a degree-four Lins-Neto family of foliations, presented as part of a celebration honoring Frank Loray's 60th birthday. Discover advanced mathematical concepts at the intersection of foliations, complex geometry, and Painlevé equations through Liliana Puchuri's specialized research from PUC-PERÚ. Learn about the mathematical structures and analytical techniques used to derive explicit formulas for these complex geometric objects, which represent important examples in the theory of holomorphic foliations. Gain insights into how these mathematical tools connect different areas of complex analysis and differential geometry, particularly in understanding the behavior of singular foliations and their first integrals. Access this presentation from the Instituto de Matemática Pura e Aplicada's conference series, featuring contributions from leading international mathematicians in the field of complex geometry and foliation theory.
