| Language |
English
|
| From |
2011/10/07 14:00
|
| To |
2011/10/07 17:00
|
| Place | Room 609, Building No.6, Faculty of Science, Kyoto University |
| Seminar Name | Kyoto Dynamical Systems Seminar |
| Title |
Weak form of local rigidity of certain solvable group action on the sphere¡¡ |
| Field |
Analysis
Other
|
| Speakers | Àõ²¬ Àµ¹¬ |
| Affiliation | µþÅÔÂç³ØÂç³Ø±¡Íý³Ø¸¦µæ²Ê |
| Abstract | In 2004, Burslem and Wilkinson proved local rigidity of
real analytic actions of the Baumslag-Solitar group BS(1,k)
on the circle. In particular, the action generated by
projective transformations f(x)=kx and g(x)=x+1 is
locally rigid.
An analog of BS(1,k) naturally acts on the sphere by
conformal transformations. The action is not locally rigid
in higher dimension, but exhibits a weak form of local
rigidity. More precisely, any perturbation preserves
a smooth conformal structure. |
| Link | http://www.math.kyoto-u.ac.jp/dynamics/ |
|