Colloquium

Dan Edidin, University of Missouri

"Algebraic Geometry and the Phase Retrieval Problem"

A signal vector can be easily reconstructed from a set of linear measurements such as the Fourier transform.  However, in many physical contexts only the intensity, but not the phase, of the linear measurements can be obtained.  The phase retrieval problem is to recover an unknown signal from the intensity of a set of linear measurements.  This reconstruction problem has a long history in engineering and physics and arises in a variety of situations such as optics and speech recognition.

In this talk we explain how algebraic techniques are used to prove that phase retrieval problem is solvable in a wide range of contexts.

MC 5501