The geometric monodromy group of a plane curve singularity (Pablo Portilla)

Séminaire « Doctorants et postdoctorants »
M2, Salle Kampé de Fériet

Abstract: The geometric monodromy group of a plane curve singularity is defined as the representation of the fundamental group of the complement of the discriminant of the versal unfolding of the plane curve singularity on the mapping class group of the fiber.
In this talk I will give an introduction to the objects involved in this definition and, if time permits, I will describe a result in collaboration with Nick Salter where we give a characterization of this group as the stabilizer of a certain vector field defined on the Milnor fiber.


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