Seminar

Language English
From 2011/01/26 16:30
To 2011/01/26 17:30
PlaceRoom 809, Building No.6, Faculty of Science, Kyoto University
Seminar NameKyoto Dynamical Systems Seminar
Title Normal forms of analytic perturbations of quasihomogeneous vector fields　
Field Analysis
Other
SpeakersLaurent Stolovitch
AffiliationUniversite de Nice
AbstractWe study germs of holomorphic vector fields which are
"higher order" perturbations of a quasihomogeneous vector
field in a neighborhood of the origin of C^n, fixed point
of the vector fields. We define a "diophantine condition''
on the quasihomogeneous initial part S which ensures that
if such a perturbation of S is formally conjugate to S
then it is also holomorphically conjugate to it. We study
the normal form problem relatively to S. We give a condition
on S that ensure that there always exists an holomorphic
transformation to a normal form. If this condition is not
satisfied, we also show, that under some reasonable
assumptions, each perturbation of S admits a Gevrey formal
normalizing transformation.
Note通常のセミナーと開始時間，会場が異なるのでご注意ください．
Linkhttp://www.math.kyoto-u.ac.jp/dynamics/