Prof. dr. Gunther Cornelissen (UU) geeft een lezing over de vraag in hoeverre waarnemingen (bijv. geluid) uniek een onderliggend object bepalen. De lezing wordt in het Engels gegeven.
Drinks afterwards!
****ABSTRACT****
Isospectrality and what to do about it.
“Isospectrality” is the problem that Mark Kac popularised by coining the phrase “Can you hear the shape of a drum?”. We describe sound and light (and basically any outcome of a physical experiment) as the spectrum of some operator. But that spectrum does not always determine the underlying object uniquely. I will describe the history of the problem, starting in the 1920’s with Hendrik Lorentz and one of his students; analogies in number theory, and some more recent developments that try to come to grips with this problem.