Title: Generic Properties in Phaseless Reconstruction
Speaker: Dongmian Zhou (UMD)
In signal processing it is often difficult to measure a signal directly. In some applications one can only measure the magnitudes of its inner product with a finite or countable set of vectors. It is a critical problem to reconstruct the original signal (up to a phase factor) from the measurements of those magnitudes. In the C^n case, it was conjectured that the signal is uniquely determined from 4n-4 generic measurements. I will present an injectivity result by Conca, Edidin, Hering and Vinzant which solves the "4n-4 conjecture."