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Usted está aquí: Inicio / Actividades / Seminarios / Seminario de Foliaciones holomorfas y singularidades / Actividades / "Topological Equivalence of Holomorphic Foliation Germs of Rank 1 with Isolated Singularity"

"Topological Equivalence of Holomorphic Foliation Germs of Rank 1 with Isolated Singularity"

Ponente: Thomas Eckl
Institución: University of Liverpool
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo 30/03/2017
de 09:30 a 11:00
Dónde Salón de Seminarios 5, Graciela Salicrup
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Abstract: We discuss the topological classification of holomorphic foliation germs of rank 1 with an isolated singularity, by using the intersection (or trace) foliation with a sphere centered in the singularity. In the Poincar\'e case, the holomorphic foliation germ can be topologically reconstructed from the intersection foliation, and this reconstruction allows for a complete classification of topological equivalence classes in dimension 2, and for partial results in dimension >= 3. We also look at the Siegel case.