| Language |
English
|
| From |
2012/06/15 14:00
|
| To |
2012/06/15 17:00
|
| Place | Room 609, Building No.6, Faculty of Science, Kyoto University |
| Seminar Name | Kyoto Dynamical Systems Seminar |
| Title |
Special curves and post-critically-finite polynomials |
| Field |
Analysis
Other
|
| Speakers | Laura DeMarco |
| Affiliation | University of Illinois at Chicago |
| Abstract | In a joint project with Matt Baker, we study algebraic curves in the moduli space of polynomials. We are interested in a characterization of curves that contain infinitely many post-critically-finite (PCF) maps. Our general conjecture may be described as a dynamical analog of the Andre-Oort conjecture in arithmetic geometry. The proof (of the cases we can handle) involves a combination of (1) arithmetic equidistribution theorems and (2) classical complex analysis and dynamics. |
| Link | http://www.math.kyoto-u.ac.jp/dynamics/ |