Séminaire Géométries ICJ

Morsifications of totally real semiquasihomogeneous singularities of type (3,k)

par Andrés Jaramillo Puentes

Europe/Paris
112 (ICJ)

112

ICJ

1er étage bâtiment Braconnier, Université Claude Bernard Lyon 1 - La Doua
Description

A morsification of a real plane singularity is a real deformation with the maximal possible number of hyperbolic nodes. Morsifications are an important tool for the study of Dynkin diagrams, monodromy, topology of the singularity link and other characteristics of singularities. In this talk I will address the problem of isotopy classification of morfisications of real semiquasihomogeneous singularities of type (3,k). I will show how to obtain this classification by combinatorial means via dessins d'enfants and how it can be encoded by wiring diagrams. I will also described the classification of these morsifications up to Reidemeister moves.