Joint Mathematics Colloquium

University of Idaho

Washington State University

Fall 2013

Friday,  November 22, 1:10-2:00 pm,  Neill Hall 5W

Refreshments in Neill 216 Hacker Reading Lounge at 12:30 p.m.

On the spectrum and length spectrum of closed manifolds


Dubi Kelmer

Department of Mathematics

Boston College


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.