Title: Holomorphic foliations with a center singularity Speaker: Hossein Movasati (IMPA) Date: 10:30 04/03/2022 Abstract: The space of holomorphic foliations with a center singularity is an algebraic set and determining its components has many applications in the study of limit cycles. In this talk I will review some well-known results, starting from Dulac's classification in the quadratic case and Ilyashenko's theorem on the persistence of Hamiltonian systems. I will also talk about an ongoing project with L. Gavrilov regarding persistence of logarithmic foliations.