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Explore the cubic oscillator through a geometric approach and examine the zeros of eigenfunctions in this mathematical conference talk presented by Mondher Chouikhi from Université De Gabès. Delve into advanced topics in foliations, complex geometry, and Painlevé equations as part of a special celebration honoring Frank Loray's 60th birthday. Learn about the geometric methods used to analyze the cubic oscillator system and understand the behavior and distribution of zeros in eigenfunction solutions. Discover how these mathematical concepts interconnect within the broader framework of differential equations and complex analysis. Gain insights from cutting-edge research presented at the Instituto de Matemática Pura e Aplicada, featuring contributions from an international scientific committee including experts from IMPA, Université de Montreal, Université de Rennes, Universidad de Valladolid, and Kobe University.
