Mathematics Colloquium
Friday, Nov. 22
Neill Hall 5W
1:10-2 p.m.
TITLE: “On the Spectrum & Length Spectrum of Closed Manifolds”
ABSTRACT:
There is a close relation between the eigenvalues of the Laplace-Beltrami operator of a Riemannian manifold and the set of lengths of its closed geodesics. Moreover, from these spectra one can extract additional geometric properties of the manifolds. In my talk I will describe some new and old results of this type. In particular, I will discuss the question of how much information can be obtained when we have only partial information on the spectrum.
Refreshments will be served 12:30 p.m., Neill 216 Hacker Reading Lounge