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Watch this 24-minute conference talk exploring Newton polyhedra and holomorphic foliations, presented as part of a celebration honoring Frank Loray's 60th birthday. Delve into the mathematical connections between foliations, complex geometry, and Painlevé equations through the lens of Newton polyhedra theory. Learn how these geometric structures relate to holomorphic foliations and their applications in complex analysis. Explore advanced topics in differential geometry and complex analysis as presented by a researcher from Universidad Nacional Autónoma de México (UNAM). Gain insights into cutting-edge research in mathematical analysis that bridges algebraic geometry, complex analysis, and differential equations. Discover the theoretical foundations and practical applications of Newton polyhedra in understanding the behavior of holomorphic foliations in complex manifolds.
