| Language |
English
|
| From |
2011/10/21 14:00
|
| To |
2011/10/21 17:00
|
| Place | Room 609, Building No.6, Faculty of Science, Kyoto University |
| Seminar Name | Kyoto Dynamical Systems Seminar |
| Title |
Dynamical approach to the transversality of holomorphic foliations with spheres¡¡ |
| Field |
Analysis
Other
|
| Speakers | °ËÆ£ ÉÒÏ / »³´ß µÁÏ |
| Affiliation | ζëÂç³Ø·ÐºÑ³ØÉô / ζëÂç³ØÍý¹©³ØÉô |
| Abstract | We study the transversality of holomorphic foliations
with spheres, from a viewpoint of dynamics of anti-holomorphic
maps in the projective space.
A point of non-degenerate contact of a leaf with a sphere
is a hyperbolic fixed point of the corresponding dynamics.
Around a degenerate contact point, the intersection of
branches of the variety of contacts is regarded as
a bifurcation diagram of a neutral fixed point of dynamics.
The Morse index for the distance function from the origin
is computed as the complex dimension of an unstable manifold. |
| Link | http://www.math.kyoto-u.ac.jp/dynamics/ |