Resolution of Vector Fields and Applications to Parabolic Dynamics
Speaker(s): Matteo Ruggiero (Université Paris Cité)
Time: October 25 - December 13, 2023
Venue: Room 29, Quan Zhai, BICMR
Abstract
The study of tangent to the identity germs in dimension 2 or higher is strongly related to the resolution of the associated infinitesimal generator.
After introducing the main protagonists to this story, we will show Seidenberg's resolution of singularities of planar foliations, the classification of the reduced singularities, Camacho-Sad's construction of separatrices, and the recent applications to the existence of parabolic curves for planar tangent to the identity germs.
If time allows, we will also comment on the recent developments in dimension 3.
Time
10.25, 11.1/8/15/22, 12.6/13, 10:00-11:30
