Aug 23, 2010
Monday
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09:30 AM - 10:30 AM
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30 Years of Calderón's Problem I
Gunther Uhlmann (University of Washington)
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- Video
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- Abstract
- In 1980 Calderón published a short paper [3] in which he pioneered the mathematical study of the inverse problem of determining the conductivity of a medium by making voltage and current measurements at the boundary. This inverse method is also called Electrical Impedance Tomography. There has been fundamental progress made on this problem, which is now called Calderón’s problem, during the following thirty years but several fundamental questions remain unanswered. For a recent survey see [8]. We will consider some of the most important development concentrating in applications of complex geometrical optics. We will follow the notes of Mikko Salo and also discuss the two dimensional case [2], [7]. We will also consider counterexamples to uniqueness to Calder´on’s problem which are relevant for cloaking and invisibility [4],[5].
Time permitting we will give an application of complex geometrical optics to photoacoustics[1]. This inverse problem will be discussed in Peter Kuchment’s minicourse.
- Supplements
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Aug 24, 2010
Tuesday
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03:30 PM - 04:30 PM
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30 Years of Calderón's Problem II
Gunther Uhlmann (University of Washington)
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- Abstract
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Aug 26, 2010
Thursday
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03:30 PM - 04:30 PM
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30 Years of Calderón's Problem III
Gunther Uhlmann (University of Washington)
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Aug 27, 2010
Friday
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02:00 PM - 03:00 PM
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30 Years of Calderón's Problem IV
Gunther Uhlmann (University of Washington)
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- Location
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- Video
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- Abstract
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