Critical Graphs of Quadratic Differentials on the Riemann Sphere

Explore critical graphs of quadratic differentials on the Riemann sphere in this 33-minute conference talk delivered at the Instituto de Matemática Pura e Aplicada. Delve into advanced mathematical concepts connecting foliations, complex geometry, and Painlevé equations as presented by Faouzi Salem Thabet from Université De Gabès. Learn about the intricate relationships between these mathematical structures and their applications in complex analysis. Discover how quadratic differentials behave on the Riemann sphere and understand the significance of their critical graphs in the broader context of geometric analysis. This presentation forms part of a special event celebrating the 60th birthday of Frank Loray, bringing together leading experts in the field to discuss cutting-edge research in complex geometry and differential equations.