Centre International de Mathématiques Pures et Appliquées

CIMPA-UNESCO-MICINN-CHILE research School

Report by Claude Cibils

Report by Axel Osses

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This CIMPA Summer School is intended for pregraduate and postgraduate students interested in Inverse Problems and related areas where these problems naturally arise as is the case of Control Theory, Optimal Design, Acoustics, Geophysics, Engineering, Biology, Medicine, etc. The different courses cover some of the current research areas in Inverse Problems with different fucuses presented by selected lecturers who are active researchers on these areas.

Objectives :

 To review the state of art of Inverse Problems with the participation of several of the most important researchers in inverse problems in the world.
 To bring together research areas as control theory, inverse problems and optimal design.
 To connect inverse problem theory with important applications in medicine, earth sciences, acoustics, etc.

Organizing committee :

 Gladys Cavallone (Depto. Ing. Matematica, F.C.F.M., Univ. de Chile) gladys@dim.uchile.cl
 Axel Osses (Centro de Modelamiento Matemático CMM, Universidad de Chile) axosses@dim.uchile.cl

Date and location :

January 4-15, Center for Mathematical Modeling, (UMI 2807 CNRS) FCFM, Universidad de Chile, Santiago, Chile

Scientific program :

1. The Calderón Problem with Partial Data (9 hours)
   • Gunther Uhlmann (University of Washington, USA)
2. Exact Controllability, Data Assimilation and Inverse Problems (9 hours)
   • Jean-Pierre Puel (Université de Versailles St Quentin, France)
3. Asymptotic methods for the detection of small inhomogeneities from boundary measurements (9 hours)
   • Eric Bonnetier (Université Joseph Fourier, Grenoble, France) & Michael Vogelius (The State University of New Jersey, USA)
4. Optimal Design and numerics (9 hours)
   • Enrique Zuazua (BASQUE CENTER for APPLIED MATHEMATICS, Spain) & Jaime Ortega (Universidad de Chile, Chile)
5. Calderón Problem and complex analysis (9 hours)
   • Lassi Päivärinta (University of Helsinki, Finland)
6. Guided student´s seminars. (5 hours) - The idea is to have a postgraduate guided seminar during the school where the research subjects of the students doing PhD thesis could be presented and discussed. This is also the opportunity to propose to the students open problems as new research lines and subjects.

Deadline for registration :

October 30th, 2009

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