Workshop on Finiteness Problems in Dynamical Systems
Description
This workshop is the final activity of the Program and so it is intended as a kind of conclusion of the whole Semester. It will consist on one-hour invited lectures focused on different aspects related to finiteness properties, tame geometry and quasianaliticity of objects coming naturally from differential equations or dynamical systems. Topics may include pfaffian sets, non-oscillating trajectories and associated Hardy fields, limit cycles, Dulac transition maps, abelian integrals, diffeomorphisms, normalizations and formal solutions.
Guest Speakers: (speaker abstracts)
| Andreas Fischer (Fields Institute) Andrei Gabrielov (Purdue University) Tobias Kaiser (University of Passau) Krzysztof Kurdyka (Université de Savoie) Olivier Le Gal (University of Toronto) Jean-Marie Lion (Universit� de Rennes 1) David Marín Pérez (Universitat Autònoma de Barcelona) Chris Miller (Ohio State University) Dmitry Novikov (Weizmann Institute of Science) |
Daniel Panazzolo (Universidade de São Paulo) Adam Parusinski (Université d'Angers) Cristiane Rousseau (Université de Montréal) Tere Seara (Universitat Politècnica de Catalunya) Masahiro Shiota (Nagoya University) Lou van den Dries (University of Illinois at Urbana-Champaign) Joris van der Hoeven (Université Paris-Sud) Alex Wilkie (University of Manchester) Yosef Yomdin (The Weizmann Institute of Science) |
Schedule
| 08:45 to 09:00 |
Welcome and Introductions
|
| 09:00 to 10:00 |
Adam Parusinski, Université Nice Sophia Antipolis |
| 10:00 to 10:30 |
Break
|
| 10:30 to 11:30 |
Andreas Fischer, TU Dresden |
| 11:30 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Asymptotic real differential algebra
Lou van den Dries, University of Illinois at Urbana-Champaign |
| 15:00 to 15:30 |
Break
|
| 16:30 to 18:00 |
Reception
|
| 09:00 to 10:00 |
Chris Miller, The Ohio State University |
| 10:00 to 10:30 |
Break
|
| 10:30 to 11:30 |
Tere Seara, Universitat Politecnica de Catalunya |
| 11:30 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Tobias Kaiser, University of Passau |
| 15:00 to 15:30 |
Break
|
| 15:30 to 16:30 |
Christiane Rousseau, University of Montreal and Université de Montréal |
| 10:00 to 10:30 |
Break
|
| 10:30 to 11:30 |
Jean-Marie Lion, Universite Rennes 1 |
| 11:30 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Joris van der Hoeven, Centre national de la recherche scientifique (CNRS) |
| 15:00 to 15:30 |
Break
|
| 15:30 to 16:30 |
David Marín Pérez, Universitat Autònoma de Barcelona |
| 09:00 to 10:00 |
Daniel Cantergiani Panazzolo, Université de Haute Alsace |
| 10:00 to 10:30 |
Break
|
| 10:30 to 11:30 |
Masahiro Shiota, Nagoya University |
| 09:00 to 10:00 |
Yosef Yomdin, Weizmann Institute of Science |
| 10:00 to 10:30 |
Break
|
| 10:30 to 11:30 |
O-minimality for solutions of analytic 2-dimensional linear ODEs
Olivier Le Gal, Université de Savoie |
| 11:30 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Krzysztof Kurdyka, Université de Savoie |
| 15:00 to 15:30 |
Break
|
| 15:30 to 16:30 |
Alex Wilkie, University of Oxford |
