Oberwolfach Reports


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Volume 2, Issue 3, 2005, pp. 1743–1798
DOI: 10.4171/OWR/2005/31

Published online: 2006-06-30

Dynamical Systems

Helmut W. Hofer[1], Jean-Christophe Yoccoz[2] and Eduard Zehnder[3]

(1) Institute for Advanced Study, Princeton, USA
(2) Collège de France, Paris, France
(3) ETH Zürich, Switzerland

This workshop, organised by Helmut Hofer (New York), Jean-Christophe Yoccoz (Paris), and Eduard Zehnder (Z{\"u}rich), continued the biannual series at Oberwolfach on Dynamical Systems that started as the ``Moser--Zehnder meeting'' in 1981. The workshop was attended by more than 50 participants from 12 countries. The main theme of the workshop were the new results and developments in the area of classical dynamical systems, in particular in celestial mechanics and Hamiltonian systems. Among the main topics were new global results on the Reeb dynamics on $3$-manifolds, KAM theory in finite and infinite dimensions, as well as new developments in Floer homology and its applications. High points were the first complete existence proof of quasiperiodic solutions in the planetarian \text{$N$-body} problem, and the solution of a long-standing conjecture of Anosov about the number of closed geodesics on Finsler $2$-spheres. The meeting was held in a very informal and stimulating atmosphere.

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Hofer Helmut, Yoccoz Jean-Christophe, Zehnder Eduard: Dynamical Systems. Oberwolfach Rep. 2 (2005), 1743-1798. doi: 10.4171/OWR/2005/31