“Bulletin Board”

 School of Mathematics - September 12, 2002

A Course/Seminar on INVERSE PROBLEMS

Starting date:
Tuesday, October 29,� 2002
Time: 17:00
Place: School of Mathematics, IPM,
��������� ��Nivaran Sqr.,
���������� �Tehran, Iran.

 
 

A Course/Seminar:

INVERSE PROBLEMS

Mehrdad Shahshahani

Professor of IPM

A Course/Seminar on INVERSE PROBLEMSBroadly speaking, Inverse Problems are about obtaining information regarding an object or phenomenon that is not directly accessible or observable.� Perhaps the most publicized inverse problem in mathematics is, Can one hear the shape of a drum?� Inverse problems have a wide range of applications in sciences.� In medical sciences, there is the problem of interpreting CAT scan, PET, fMRI or other medical imaging data.� An essential feature of these problems is the inversion of the Radon Transform.� Understanding the structure of DNA or other molecules from the X-ray diffraction data are examples of inverse problems.� In geophysics, the shock waves of an earthquake provide information about the structure the earth.� In physics there is the problem of the determination of a potential from the scattering data.

The purpose of the course/seminar is to provide the background material for the IPM workshop on Inverse Problems scheduled for February 2003.� Several distinguished experts are expected to attend the meeting.� To benefit from the meeting, students are encouraged to familiarize themselves with the background material so that they can interact scientifically with the experts at the meeting.

The course meets once a week for two hours (tentatively scheduled for Tuesdays at 5 pm, at IPM, Niavaran).� The syllabus for the course is as follows:

  1. Mathematical tools (Radon transforms, Fourier transforms etc.)
  2. Reconstruction algorithms.
  3. Resolution, accuracy, ill-posed problems, incomplete data and other practical matters.
  4. 3-D imaging.
  5. Scattering and inverse scattering for the wave equation.
  6. Physical background and the formulation of the problem.
  7. Theories of Gelfand-Levitan and Marchenko.

Starting date:

Tuesday, October 29,� 2002

Time: 17:00, every Tuesday

Place: School of Mathematics, IPM,

��������� ��Nivaran Sqr.,

���������� �Tehran, Iran.

 
 
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