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THEMATIC PROGRAMS |
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| December 26, 2024 |
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Thematic Program on o-minimal Structures and Real Analytic Geometry --January-June 2009June 22 - 26, 2009
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Mailing List : To receive updates on the program please subscribe to our mailing list at www.fields.utoronto.ca/maillist
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 (Université 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) |
Workshop Schedule
| Monday June 22 | |
| 8:45 - 9:00 | Welcome and Introduction Matthias Neufang & Workshop Organizers |
| 9:00 - 10:00 | Adam Parusinski (Université
d'Angers) Limits of gradient directions at a singular point |
| 10:00 - 10:30 | Break |
| 10:30 - 11:30 | Andreas Fischer (Fields Institute) Definable versions of theorems by Kirszbraum and Helly |
| 11:30 - 2:00 | Lunch Break |
| 2:00 - 3:00 | Lou van den Dries (University of Illinois at
Urbana-Champaign) Asymptotic real differential algebra |
| 3:00 - 3:30 | Break |
| 3:30 - 4:30 | Dmitry Novikov (Weizmann Institute of Science) Infinitesimal Hilbert 16th problem: recent progress |
| 4:30 - 6:00 | Reception Fields Institute |
| Tuesday June 23 | |
| 9:00 - 10:00 | Chris Miller (Ohio State University) Expansions of o-minimal structures by trajectories of definable planar vector fields |
| 10:00 - 10:30 | Break |
| 10:30 - 11:30 | Tere Seara (Universitat Politècnica
de Catalunya) Resurgence of inner solutions for analytical perturbations of the McMillan map |
| 11:30 - 2:00 | Lunch Break |
| 2:00 - 3:00 | Tobias Kaiser (University of Passau) On the resolution of singularities for power series with perturbation by logarithmic terms |
| 3:00 - 3:30 | Break |
| 3:30 - 4:30 | Christiane Rousseau (Université de Montréal) Orbital analytic classification of germs of families unfolding a codimension 1 resonant saddle or saddle-node |
| Wednesday June 24 | |
| 9:00 - 10:00 | Andrei Gabrielov (Purdue University) Triangulation of monotone o-minimal families |
| 10:00 - 10:30 | Break |
| 10:30 - 11:30 | Jean-Marie Lion (Université de Rennes
1) Pfaffian sets |
| 11:30 - 2:00 | Lunch Break |
| 2:00 - 3:00 | Joris van der Hoeven (Université Paris-Sud) Machine computations with transseries |
| 3:00 - 3:30 | Break |
| 3:30 - 4:30 | David Marin (Universitat Autonoma de Barcelona) Unfolding of resonant saddles and the Dulac time |
| Thursday June 25 | |
| 9:00 - 10:00 | Daniel Panazzolo (Universidade de São
Paulo) The group of power and translations and its relation to generalized Witt algebras |
| 10:00 - 10:30 | Break |
| 10:30 - 11:30 | Masahiro Shiota (Nagoya University) O-minimal Hauptvermutung |
| Free Afternoon | |
| Friday June 26 | |
| 9:00 - 10:00 | Yosef Yomdin (The Weizmann Institute of Science) Poincare Inversion, Moment inversion, Compositions, and Signal Processing |
| 10:00 - 10:30 | Break |
| 10:30 - 11:30 | Olivier Le Gal (University of Toronto) O-minimality for solutions of analytic 2-dimensional linear ODEs |
| 11:30 - 2:00 | Lunch Break |
| 2:00 - 3:00 | Krzysztof Kurdyka (Université de Savoie) On the structure of gradient extremal set of generic function |
| 3:00 - 3:30 | Break |
| 3:30 - 4:30 | Alex Wilkie (University of Manchester) Some Model Theory for Complex Analytic Functions |
| Fullname | University/Affiliation |
| Andrews, Rob | (no affiliation) |
| Aschenbrenner, Matthias | University of California, Los Angeles |
| Bierstone, Edward | University of Toronto |
| Bilski, Marcin | Jagiellonian University |
| Brower, Donald | University of Notre Dame |
| Caycedo, Juan Diego | University of Oxford |
| Comte, Georges | Université de Nice - Sophia Antipolis |
| Cotter, Sarah | University of Notre Dame |
| Dinh, Si Tiep | Fields Institute |
| Edmundo, Mário Jorge | Universidade de Lisboa |
| Eleftheriou, Pantelis | Universidade de Lisboa |
| Fischer, Andreas | Fields Institute |
| Foster, Tom | University of Oxford |
| Gabrielov, Andrei | Purdue University |
| Gunaydin, Ayhan | University of Oxford |
| Hart, Bradd | McMaster University |
| Haskell, Deirdre | McMaster University |
| Hieronymi, Philipp | University of Oxford |
| Ingram, Patrick | University of Waterloo |
| Jelonek, Zbigniew | Instytut Matematyczny |
| Jones, Gareth | University of Manchester |
| Kaiser, Tobias | University of Passau |
| Kuhlmann, Salma | University of Saskatchewan |
| Kurdyka, Krzysztof | Université de Savoie |
| Le Gal, Olivier | University of Toronto |
| Lion, Jean-Marie | Université de Rennes 1 |
| Malliaris, Maryanthe | University of California, Berkeley |
| Marikova, Jana | McMaster University |
| Marín, David | Universitat Autònoma de Barcelona |
| Matusinski, Mickaël | University of Saskatchewan |
| Miller, Christopher L. | Ohio State University |
| Mourtada, Abderaouf | Université de Bourgogne |
| Novikov, Dmitry | Weizmann Institute of Science |
| Panazzolo, Daniel | Universidade de São Paulo |
| Parusinski, Adam | Université d'Angers |
| Patel, Sanjay | McMaster University |
| Piekosz, Artur | Politechnika Krakowska |
| Rainer, Armin | University of Pisa |
| Ramakrishnan, Janak | Université Claude Bernard Lyon I |
| Randriambololona, Serge | Universite Lyon 1 |
| Rennet, Alexander | University of California, Berkeley |
| Rolin, Jean-Philippe | Université de Bourgogne |
| Rousseau, Christiane | Université de Montréal |
| Sanz, Fernando | University of Valladolid |
| Seara, Tere M. | Universitat Politècnica de Catalunya |
| Servi, Tamara | Centro de Matemática e Aplicações Fundamentais |
| Shiota, Masahiro | Nagoya University |
| Speissegger, Patrick | McMaster University |
| Teymuri Garakani, Mahdi | Institute for Research in Fundamental Sciences |
| Thomas, Margaret | University of Oxford |
| Trotman, David | University of Provence |
| Valette, Anna | Uniwersytet Jagiellonski |
| Valette, Guillaume | PAN |
| van den Dries, Lou | University of Illinois at Urbana-Champaign |
| van der Hoeven, Joris | Université Paris-Sud |
| Vasquez Rifo, Elisa | University of Minnesota |
| Villaverde, Rafael Martín | University of Bourgogne, France |
| Wilkie, Alex | University of Manchester |
| Yomdin, Yosef | The Weizmann Institute of Science |
Apply to the Program:
All scientific events are open to the mathematical sciences community. Visitors who are interested in office space or funding are requested to apply by filling out the application form (available in 2008). Additional support is available (pending NSF funding) to support junior US visitors to this program. Fields scientific programs are devoted to research in the mathematical sciences, and enhanced graduate and post-doctoral training opportunities. Part of the mandate of the Institute is to broaden and enlarge the community, and to encourage the participation of women and members of visible minority groups in our scientific programs. To be informed of when the application for support will be open please subscribe to the Fields maillist
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