Workshop on Conservative Dynamics and Symplectic Geometry

IMPA, Rio de Janeiro, de 31/07 até 06/08

The Workshop aims to gather experts on Conservative Dynamics and Symplectic Geometry, from Brazil and abroad, in a leisurely ambiance.

Just as in the first three editions of the meeting, held at IMPA in 2005, 2007 and 2009, the program includes a small number of lectures leaving plenty of time for informal discussions.
The main topics are Symplectic Topology with applications to Hamiltonian Dynamics, Contact Geometry, Dynamics of Lagrangian Systems and Twist Maps, Integrable Systems, Aubry-Mather theory, among others.

Organizing Committee

Henrique Bursztyn (IMPA)

Leonardo Macarini (UFRJ)

Marcelo Viana (IMPA)

Participants

– Miguel Abreu (Lisbon)
– Silvia Anjos (Lisbon)
– Frederic Bourgeois (Bruxelles)
– Barney Bramham (Princeton)
– Mario Jorge Carneiro (UFMG)
– André de Carvalho (USP)
– Albert Fathi (ENS-Lyon)
– Joel Fish (Stanford)
– Urs Frauenfelder (Seoul)
– Viktor Ginzburg (Santa Cruz)
– Umberto Hryniewicz (UFRJ)
– Renato Iturriaga (*)(CIMAT)
– Yael Karshon (Toronto)
– Ely Kerman (Illinois)
– Otto van Koert (Seoul)
– Artur Lopes (UFRGS)
– David Martinez (Lisbon)
– Marco Mazzucchelli (Lyon)
– Mark McLean (MIT)
– Will Merry (Cambridge)
– Al Momin (Purdue)
– Fernando Oliveira (UFMG)
– Gabriel Paternain (Cambridge)
– Alvaro Pelayo (St Louis)
– Clodoaldo Ragazzo (USP)
– Tudor Ratiu (Lausanne)
– Alexander Ritter (Cambridge)
– Rafael Ruggiero (PUC-Rio)
– Pedro Salomao (USP)
– Sheila Sandon (Nantes)
– Richard Siefring (Michigan)
– Alfonso Sorrentino (Cambridge)
– Katrin Werheim (*) (MIT)

Title and Abstracts

– Miguel Abreu (Lisbon)
Remarks on Lagrangian intersections in toric manifolds.

– Frederic Bourgeois (Bruxelles)
Bilinearized Legendrian contact homology

– Albert Fathi (ENS-Lyon)
Smoothing Lyapunov functions.

– Urs Frauenfelder (Seoul)
Contacting the moon.

– Viktor Ginzburg (Santa Cruz)
Conley conjecture and beyond: infinitely many periodic points of Hamiltonian dynamical systems.

– Umberto Hryniewicz (UFRJ)
Local contact homology and applications.

– Yael Karshon (Toronto)
Symplectic blowups of the complex projective plane,and counting torus actions.

– Otto van Koert (Seoul)
Applications of the mean Euler characteristic.

– Mark McLean (MIT)
Contact manifolds with infinitely many Reeb orbits.

– Will Merry (Cambridge)
On the growth rate of leaf-wise intersections.

– Tudor Ratiu (Lausanne)
Circle valued momentum maps.

– Alexander Ritter (Cambridge)
Floer theory for negative line bundles via Gromov-Witten invariants.

– Pedro Salomao (USP)
Geodesic flows on the 2-sphere of Finsler metrics with positive flag curvature.

– Sheila Sandon (Nantes)
On existence of translated points for contactomorphisms.

– Alfonso Sorrentino (Cambridge)
Symplectic properties of the minimal average action

Program

Program

Certificates

Lecture

Participant

Videos of the Lectures

Vídeos

Pictures

Pictures

List of all registered partipants

List