Resolution of Singular Foliations via Principalization

Explore the resolution of singular foliations through principalization techniques in this 51-minute conference talk delivered by André Belotto from Université Paris Cité. Delve into advanced mathematical concepts at the intersection of foliations, complex geometry, and Painlevé equations as part of a celebration honoring Frank Loray's 60th birthday. Learn about cutting-edge research methods for analyzing and resolving singularities in foliation theory, with applications to complex geometric structures. Gain insights into the mathematical framework that connects differential equations, algebraic geometry, and dynamical systems through the lens of principalization techniques. Discover how these theoretical developments contribute to our understanding of complex mathematical structures and their applications in modern mathematical research.