International Workshop on Dynamical Systems and Geometry in honor of Prof. Michel Herman
IMPA, Rio de Janeiro, April 9 – 12, 2001
This is a small but very special mathematical conference: it honors Michel Herman, a friend and a great mathematician, who passed away last November. In several ways he became much attached to IMPA, having attended since 1976 many of its conferences, particularly but not only in dynamical systems. He was also a common visitor and in fact he would spend two years with us, starting in early February 2001. One of his last beautiful gestures was to leave to IMPA’s library his more than two thousand mathematical books: a catalog is now being kindly prepared by the University of Paris – Jussieu. He also expressed the wish to have his ashes spread over the city of Rio de Janeiro and this shall take place in the end of the morning of April 10. Details shall be provided later.
Concerning the activities, there will be about six lectures a day from 9 to 12 April of 45 minutes each: three in the morning from 9 to 11:45 a.m. with 15 minutes break between them and three in the afternoon from 14:15 to 17:15 with half an hour break after the first lecture and 15 minutes break afterwards.
Scientific Programme
| Auditorium Ricardo Mañe |
| 9:00 – 9:45 | John Milnor SUNY at Stony Brook |
Dynamics and the Brain. Can dynamical methods help us to understand the functioning of the human brain? A naive report. |
| 10:00 – 10:45 | Christian Bonatti Univ. Bourgogne |
Recent results on robust transitivity and partial hyperbolicity |
| 10:00 – 10:45 | Enrique Pujals UFRJ |
The Dynamics of dominated decomposition |
| 12:00 – 14:00 | Lunch |
| 14:15 – 15:00 | Patrice Le Calvez Univ. Paris Nord |
Generalized Aubry-Mather sets for non twist maps of the annulus or the torus |
| 15:00 – 15:30 | Coffee Break |
| 15:30 – 16:15 | Harold Rosenberg Univ. Paris VII |
The unicity of the helicoid |
| 16:30 – 17:15 | Jean-Paul Thouvenot Univ. Paris VII |
Discontinuities of Lyapunov exponents and a theorem of M. Herman |
| Auditorium Ricardo Mañé |
| 9:00 – 9:45 | François Laudenbach Univ. Nantes |
About T*(Tn) and its Lagrangian submanifolds |
| 10:00 – 10:45 | Anatole Katok Penn. State Univ. |
Liouvillean phenomena in dynamics: Herman’s contribution and some new results |
| 11:00 – 12:00 | Ceremony |
| 12:00 – 14:00 | Lunch |
| 14:15 – 15:00 | Alain Chenciner Univ. Paris VII |
Are the masses of a choreography necessarily equal ? |
| 15:00 – 15:30 | Coffee Break |
| 15:30 – 16:15 | Ernst Heintze Univ. Augsburg |
Infinite dimensional symmetric spaces, submanifolds and Kac-Moody algebras |
| 16:30 – 17:15 | Viviane Baladi Univ. Paris-Sud |
Dynamical Determinants and Dominated Decomposition in Dimension 2 |
| Auditorium Ricardo Mañé |
| 9:00 – 9:45 | Albert Fathi ENS – Lyon |
How Michel forced me to turn into PDE’s: Some local results on the Hamilton-Jacobi equation |
| 10:00 – 10:45 | Raphael Krikorian ֹcole Polytechnique |
About quasi-periodic cocycles |
| 11:00 – 11:45 | Jairo Bochi IMPA |
Zero Lyapunov exponents |
| 12:00 – 14:00 | Lunch |
| 14:15 – 15:00 | J.- C. Yoccoz Collטge de France |
Rational p-adic dynamics, following J. RIVERA-LETELIER |
| 15:00 – 15:30 | Coffee Break |
| 15:30 – 16:15 | Maurםcio Peixoto IMPA |
Focal stability of geodesics |
| 16:30 – 17:15 | Fraחois Ledrappier ֹcole Polytechnique |
Ergodic properties of some linear actions |
| Auditorium Ricardo Mañé |
| 9:00 – 9:45 | John Mather Princeton Univ. |
Differentiability properties of the beta function |
| 10:00 – 10:45 | Raphael Douady ENS-Cachan |
Circle diffeomorphisms and automorphic measures |
| 11:00 – 11:45 | Carlos G. Moreira IMPA |
Statistical properties of unimodal maps |
| 12:00 – 14:00 | Lunch |
| 14:15 – 15:00 | Carlos Gutierrez USP-Sדo Carlos |
Injectivity of C1 maps R2 –> R2 at infinity and planar vector fields |
| 15:00 – 15:30 | Coffee Break |
| 15:30 – 16:15 | E. Zehnder ETH-Zentrum |
Pseudoholomorphic curves and dynamics in three dimensions |
| 11:00 – 11:45 | Hakan Eliasson Royal Inst. Tech. |
Almost reducibility of linear quasi-periodic systems |
Speakers
John Milnor, SUNY at Stony Brook, Dynamics and the Brain. Can dynamical methods help us to understand the functioning of the human brain? A naive report.
Christian Bonatti, Univ. Bourgogne, Recent results on robust transitivity and partial hyperbolicity
Enrique Pujals, UFRJ, The Dynamics of dominated decomposition
Patrice Le Calvez, Univ. Paris Nord, Generalized Aubry-Mather sets for non twist maps of the annulus or the torus
Harold Rosenberg, Univ. Paris VII, The unicity of the helicoid
Jean-Paul Thouvenot, Univ. Paris VI, Discontinuities of Lyapunov exponents and a theorem of M. Herman
François Laudenbach, Univ. Nantes, About T*(Tn) and its Lagrangian submanifolds
Anatole Katok, Penn. State Univ., Liouvillean phenomena in dynamics: Herman’s contribution and some new results
Alain Chenciner, Univ. Paris VII, Are the masses of a choreography necessarily equal?
Ernst Heintze, Univ. Augsburg, Infinite dimensional symmetric spaces, submanifolds and Kac-Moody algebras
Viviane Baladi, Univ. Paris-Sud, Dynamical Determinants and Dominated Decomposition in Dimension 2
Albert Fathi, ENS – Lyon, How Michel forced me to turn into PDE’s: Some local results on the Hamilton-Jacobi equation
Raphael Krikorian, École Polytechnique, Quasi-periodic cocycles
Jairo Bochi, IMPA, Zero Lyapunov exponents
J.- C. Yoccoz, Collège de France, Rational p-adic dynamics, following J. RIVERA-LETELIER
Maurício Peixot, IMPA, Focal stability of geodesics
Fraçois Ledrappier, École Polytechnique, Ergodic properties of some linear actions
John Mather, Princeton Univ. , Differentiability properties of the beta function
Raphael Douady, ENS-Cachan, Circle diffeomorphisms and automorphic measures
Carlos G. Moreira, IMPA, Statistical properties of unimodal maps
Carlos Gutierrez, USP-São Carlos, Injectivity of C1 maps R2 –> R2 at infinity and planar vector fields
Zehnder, ETH-Zentrum, Pseudoholomorphic curves and dynamics in three dimensions
Hakan Eliasson, Royal Inst. Tech., Almost reducibility of linear quasi-periodic systems
Participants
Baladi, Viviane Universitè Paris-Sud
Bassam, Fayad École Polytechnique
Bonatti, Christian Université de Bourgogne
Camacho, Cesar IMPA
Carneiro, Mario Jorge Univ. Fed. de Minas Gerais
Chenciner, Alain Univ. Paris VII
Dajczer, Marcos IMPA
De Melo, Welington IMPA
Diaz, Lorenzo PUC-RJ
Do Carmo, Manfredo IMPA
Douady, Raphael Ecole Normale Superieure-Cachan
Heintze, Ernst Univ. Augsburg
Faria, Edson IME/USP
Fathi, Albert Ecole Normale Sup. De Lyon
Flexor, Marguerite Univ. Paris Sud
Florit, Luis IMPA
Gutierrez, Carlos USP/São Carlos
Haefliger, Andre Univ. de Geneve
Hakan, Eliasson Royal Inst. Of Technology
Katok, Anatole Pennsylvania State University
Krikorian, Raphael École Polytechnique
Labarca, Rafael Univ. de Santiago de Chile
Laudenbach, François Univ. de Nantes
Le Calvez, Patrice Univ. Paris Nord
Ledrappier, François École Polytechnique
Lima, Elon Lages IMPA
Lins Neto, Alcides IMPA
Markarian, Roberto Univ. de la Republica
Mather, John Princeton University
Milnor, John SUNY at Stony Brook
Morales, Carlos UFRJ
Moreira, Carlos Gustavo IMPA
Oliveira, Fernando UFMG
Pacífico, Maria José UFRJ
Palis, Jacob IMPA
Peixoto, Maurício IMPA
Pujals, Enrique UFRJ
Ragazzo, Clodoaldo IME/USP
Rios Isabel UFF
Rocha, Luiz Fernando Univ. Fed. Rio Grande do Sul
Rosenberg, Harold Univ. Paris VII
Sotomayor, Jorge IME/USP
Thouvenot, Jean-Paul Univ. Paris VII
Vargas, Edson IME/USP
Viana, Marcelo IMPA
Yoccoz, Jean Christophe Collège de France
Zehnder, Eduard ETH – Zentrum
Department of Scientific Activities
eventos@impa.br
IMPA, Estrada Dona Castorina 110
22460-320 Rio de Janeiro, Brazil
Fax: +55 (21) 529-5019
