Trends in Complex Dynamics
May 16 -19, 2011
Clay Mathematics Institute
One Bow Street
4th Floor
Cambridge, MA
In the middle to late 1990's, the field of complex dynamics expanded its horizons considerably. Now rational maps, entire transcendental maps, and meromorphic functions are major topics of research. The behavior of these maps is often very different from that of polynomial maps. Furthermore, people have been investigating higher dimensional holomorphic maps like the planar Henon map. These types of maps were investigated at length back in the 1970's, but the lack of complex analytic tools hindered these efforts. Now this area is once again back in focus. And there are many other areas of interest: the structure of the set of rational maps near its boundary, algebraic dynamics, Newton's Method, etc.
The goal of this workshop was to convene a diverse group of experts in the various subareas of complex dynamics for an intense week of discussion of the different directions that complex dynamics is headed in.
Schedule
Monday, May 16
| 9:00-10:00 | Kevin Pilgrim Polynomial dynamics on the basin of infinity |
| 10:00-10:30 | Break |
| 10:30-11:30 | Jeremy Kahn Geometric Limits and Renormalization |
| 11:30-12:00 | Break |
| 12:00-1:00 | John H. Hubbard Parabolic blowups: Kleinian groups and complex dynamics |
| 1:00-2:30 | Lunch |
| 2:30-5:00 | Breakout sessions, Harvard Math Dept, rooms 530 & 507 |
| 5:00-6:30 | Reception, Hilbert Space, CMI |
| 7:00 | Dinner at the faculty club for invited guests |
Tuesday, May 17
| 9:30-10:30 | Nuria Fagella A separation Theorem for entire transcendental functions |
| 10:30-11:00 | Break |
| 11:00-12:00 | Xavier Jarque On the connectivity of the escaping set for complex exponential Misiurewicz parameters |
| 12:00-1:30 | Lunch |
| 1:30-2:30 | Monica Moreno Rocha Nonlanding hairs in transcendental entire dynamics |
| 2:30-5:00 | Breakout sessions, Harvard Math Dept, rooms 530 & 507 |
Wednesday, May 18
| 9:30-10:30 | Serge Cantat Rational surfaces with a large automorphism group |
| 10:30-11:00 | Break |
| 11:00-12:00 | Volodia Nekrashevych Combinatorial models of expanding maps and Julia sets |
| 12:00-1:30 | Lunch |
| 1:30-2:30 | Adam Epstein Towards Arithmetic Thurston Rigidity |
| 2:30-3:00 | Break |
| 3:00-4:00 | Laura DeMarco Complex dynamics and arithmetic equidistribution |
Thursday, May 19
| 9:00-10:00 | Tan Lei Kneading sequences and irreducibility of quadratic periodic curves |
| 10:00-10:30 | Break |
| 10:30-11:30 | Daniel Meyer Expanding Thurston maps |
| 11:30-12:00 | Break |
| 12:00-1:00 | Mitsuhiro Shishikura Yoccoz tau-function and applications |
| 1:00 | Picnic/lamb roast, Harvard campus |
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