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CRM > English > Activities > RP Geometry and Dynamics of Integrable Systems
RP Geometry and Dynamics of Integrable Systems
 

  

General information 

 

When: From September 9 to November 20, 2013
 
Where: Centre de Recerca Matemàtica​                                     WEEKLY SEMINAR

 

Scientific Coordinators 

 

Vladimir Matveev, Friedrich-Schiller-Universität Jena
 
Eva Miranda, Universitat Politècnica de Catalunya
 
Francisco Presas, Instituto de Ciencias Matemáticas, Madrid
 
Iskander Taimanov, Instiute of Mathematics, Novosibirsk
Goals 
 
 

This research Programme focuses on the Geometrical and the Dynamical aspects in the study of integrable systems. We want to specially stress out the following topics in the study of integrable systems:

1- Connections of several aspects showing up in the geometry, topology and dynamics of integrable systems in symplectic manifolds such as singular aspects of integrable systems, symplectic topology of integrable systems, integrability criteria and obstructions to integrability, connection with Geometric Quantization and integrable systems in contact and Poisson manifolds.

2- Study of geodesic flows, their integrability and non-integrability: methods and examples.
 

3- Study relations with moduli spaces theory: integrable systems arising as symmetry reductions of Yang-Mills equations, integrable systems naturally arising as moduli spaces of bundles (Hitchin integrable system, etc.)

4- Applications to Mathematical Physics and classical differential geometry.​
 


List of invited researchers

 

Researcher

Arriving day

Leaving day

University

Romero Barbieri Solha

09/09/2013

30/11/2013

Universitat Politècnica de Catalunya

Alexei Bolsinov

09/09/2013

13/10/2013

University Loughborough Leicestershire

Roger Casals ​09/09/2013​ 04/10/2013​ ICMAT/CSIC Madrid​

Chiara Esposito

09/09/2013

20/09/2013

Mathematisches Forschungsinstitut Oberwolfach

Pedro Frejlich

10/10/2013

08/11/2013

University Utrecht

Anna Kiesenhofer

09/09/2013

09/11/2013

Universitat Politècnica de Catalunya

Jean-Pierre Marco

15/09/2013

28/09/2013

Université Pierre et Marie Curie

David Martínez Torres

10/10/2013

08/11/2013

Instituto Superior Técnico

Vladimir Matveev

07/09/2013

03/10/2013

Friedrich-Schiller Universität Jena

Eva Miranda

09/09/2013

09/11/2013

Universitat Politècnica de Catalunya

Andrey Mironov

09/09/2013

08/10/2013

Sobolev Institute of Mathematics

Philippe Monnier

03/10/2013

12/10/2013

Université Paul Sabatier

Philippe Monnier

23/10/2013

03/11/2013

Université Paul Sabatier

Klaus Niederkruger

15/09/2013

13/10/2013

Université Paul Sabatier

​Alvaro del Pino ​08/09/2013 04/10/2013​ ​Universidad Autonoma de Madrid

Francisco Presas

08/09/2013

08/10/2013

Instituto de Ciencias Matemáticas

Stefan Rosemann

08/09/2013

06/10/2013

Friedrich-Schiller Universität Jena

Konrad Schöbel

09/09/2013

04/10/2013

Friedrich-Schiller Universität Jena

Iskander Taimanov

15/09/2013

21/09/2013

Institute of Mathematics




Vassil Tzanov

09/09/2013

09/11/2013

Bristol University

Andreas Vollmer

08/09/2013

02/10/2013

Friedrich-Schiller Universität Jena

Jonathan Weitsman

05/10/2013

19/10/2013

Northeastern University



This list has been updated on September 25 and includes the researchers that have fully confirmed the dates of their visits.

 Planned activities
 
  
 
 
  Qdays in Barcelona​​​. From October 16 to 18, 2013
 
 

Sponsors 


This Research Programme is partially supported by the generous support of


European Science Foundation
the European Science Foundation via the network CAST (contact and symplectic Topology)   
 
 
 
 
 
 

 and the  Viktor Ginzburg Laboratory (via its Severo Ochoa Programme).

Special issue of Journal of Geometry and Physics​ 
 

Topic: Finite dimensional integrable systems: on the crossroad of algebra, geometry and physics.

Editors: Vladimir S. Matveev, Eva Miranda, Vladimir Rubtsov, Sergei Tabachnikov, San Vu Ngoc

More information click here​​

Further information 
 
  
For further information you can contact the research programme coordinator, Ms. Neus Portet at nportet@crm.cat
 
phone: +34 93 5814086
 

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