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Explore the intricate connections between foliations, complex geometry, and Painlevé equations in this 54-minute conference talk delivered in Portuguese. Delve into the mathematical analysis of singular fibers of the Hitchin map as presented by Thiago Fassarella from Universidade Federal Fluminense (UFF). Examine advanced concepts in differential geometry and complex analysis within the context of this specialized mathematical framework. Learn about the theoretical foundations and applications of these mathematical structures through detailed exposition and rigorous mathematical treatment. Discover how these seemingly disparate areas of mathematics interconnect and influence contemporary research in algebraic geometry and differential equations. This presentation forms part of a celebration honoring Frank Loray's 60th birthday, bringing together leading experts in the field to share cutting-edge research and insights into these sophisticated mathematical topics.
