SUMRY Colloquium: Ian Adelstein “Can you hear the shape of a drum?”

Event time: 
August 15, 2018 - 2:00pm
LOM 215
Ian Adelstein
Speaker affiliation: 
Event description: 

Abstract: I will discuss Mark Kac’s famous question as to what geometric information is encoded in the Laplace spectrum of a manifold. The Laplacian is a generalized second derivative and we consider its eigenvalues and eigenfunctions. We’ll see examples of spaces which have the same Laplace spectrum (isospectral) yet which are geometrically distinct (non-isometric). I’ll present a pair of isospectral spaces that I’ve constructed together with Mary Sandoval in order to examine their inaudible geometric properties. This talk should be accessible to undergraduate math majors.