Can you “hear” the shape of a radial Schrodinger operator?

Start: 01/30/2013 - 4:15pm
End  : 01/30/2013 - 5:15pm


Ivan Ventura (The University of Arizona)


Inverse problems are a large class of both theoretical and applied problems that have captivated the mathematical community for over half a century. During this time numerous applications have arisen in in a variety of fields, such as medical imaging and cloaking. In the first half of this talk I will discuss, by example, general inverse problems and how they arise in the real world. In the second half I will focus specifically on spectral inverse problems, starting with the classic “Can you hear the shape of a drum?” problem in the case of the sphere. Finally I will present an analogous result for semiclassical Schrodinger operators.

Beckman B126, Harvey Mudd College

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