时间：2023年11月17日（周五）14:00-16:00

Time：14:00-16:00, Friday, November 17, 2023

地点：E4-233 & ZOOM

Venue: E4-233 & ZOOM

ZOOM ID：939 5754 1624

PASSCODE: 575859

主讲人: 巴黎第七大学 Matteo Ruggiero

Speaker：Matteo Ruggiero, University Paris Diderot (Paris VII)

主讲人简介/Biography：Matteo Ruggiero is maître de conférences at the Université Paris Cité, UFR de Mathématiques, research unit IMJ-PRG, group Géométrie et Dynamique. His research interests include (Local and semi-local) dynamics of analytic maps, (non-Kähler) complex geometry and compactification of orbit spaces, birational aspects of singularities of analytic spaces and maps, links with toric, tropical and non-archimedean geometry.

讲座主题/Title： Resolution of vector fields and applications to parabolic dynamics

讲座摘要/Abstract: 

The local dynamical properties of a high order perturbation of the identity are intimately related to the resolution of singularities of the associated infinitesimal generator.

In particular, Ramis-Sibuya normal forms of resolved infinitesimal generators admitting a separatrix allow to describe the parabolic manifolds asymptotic to such separatrix (by recent works by López-Hernanz, Raissy, Ribón, Sanz-Sánchez, Vivas).

I will present these phenomena via a class of examples in dimension 3, introduced in a joint work with Samuele Mongodi, where all the separatrices lie inside central manifolds of the resolved infinitesimal generator, a behavior in contrast with the situation in dimension 2.