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NOUVELLES DATES - Spectra in Riemannian and Symplectic Geometry


Zanjan, Iran


03/07/2021 - 14/07/2021


One of the fascinating bridges between  classical  mechanics  and quantum physics  is expressed  in the fact that the length spectrum  and the Laplace  spectrum  of a closed Riemannian  manifold determine  each other (at least generically). The main goal of this school  is to introduce  graduate  students  and young  researchers to basic facts on these two spectra, and to the above correspondence.

The length spectrum  generalizes   to the action spectrum  of an autonomous Hamiltonian function.  Floer homofogy filtered  by the action spectrum  can be used to construct  so-called  action selectors,  that are a principal  tool in modern symplectic  geometry and dynamics.

The second goal is to understand  this relevance  of the action spectrum  in symplectic geometry.

A third,  more hypothetical, goal is to see which parts  of the two sides can be related.

Langue officielle de l'école : anglais.

Responsables administratifs et scientifiques

Rashid ZAARE-NAHANDI (IASBS Zanjan, Iran, rashidzn@iasbs.ac.ir)
Felix SCHLENK (Université de Neuchâtel, Suisse, schlenk@unine.ch)

Comité scientifique

Asma HASSANNEZHAD (Bristol University, GB)
Esmaeel ASADI (IASBS, Iran)
Urs FRAUENFELDER (Universität Augsburg, Allemagne)
Felix SCHLENK (Université de Neuchâtel, Suisse)

Programme scientifique

Cours 1: "The length spectrum of a Riemannian manifold", Otto VAN KOERT (Seoul National University, Corée du Sud)
Cours 2: "The Laplace spectrum of a Riemannian manifold", Felix SCHLENK (Université de Neuchâtel, Suisse)
Cours 3: "Symplectic geometry", Esmaeel ASADI (IASBS, Iran)
Cours 4: "Small eigenvalue of negatively curves surfaces", Asma HASSANNEZHAD (Bristol University, GB)
Cours 5: "From the Laplace spectrum to the length spectrum and back", Urs FRAUENFELDER (Universität Augsburg, Allemagne)
Cours 6: "The role of the action spectrum in symplectic dynamics and geometry", Urs FRAUENFELDER (Universität Augsburg, Allemagne)

Comment participer:

Pour s'inscrire et candidater à un financement CIMPA, suivre les instructions données ici.

Date limite d'inscription et de candidature : 7 mars 2021.