Tangent to the Identity Germs and Affine Surfaces

Resolution of the infinitesimal generator and parabolic manifolds in dimension 3

12 févr. 2025, 10:20

50m

Amphithéatre Schwartz (Institut de Mathématiques de Toulouse)

Orateur

Matteo Ruggiero (Université Paris Cité - IMJ-PRG)

Description

Through explicit examples introduced by Samuele Mongodi and myself, we will see how the resolution of singularities of vector fields of McQuillan and Panazzolo, and the resolution along separatrices of Lopez-Hernanz, Ribon, Sanz-Sanchez and Vivas, intervene in the study of parabolic manifolds for tangent to the identity germs in dimension 3.
Part of the talk is based on a work in progress with Samuele Mongodi and André Belotto Da Silva.