Geometric structures and the Laplace spectrum

event Monday, April 3, 2023
access_time 5:30pm (CDT)
room PHSC 1105
info Pizza will be served after the talk!

Abstract: The Laplace spectrum of a closed Riemannian manifold is defined as the set of all eigenvalues (counted with multiplicity) of the associated Laplace operator. A central theme in inverse spectral geometry is to uncover the relation between the Laplace spectrum and the underlying geometry of the space. Geometric structures are fundamental objects in the study of three-dimensional geometry and topology. In this talk, I will give an introduction on three-dimensional geometric structures, and mention our motivations for studying inverse spectral geometry of three-dimensional geometric structures. At the end of the talk, I will discuss some open problems with varying degrees of difficulties in this direction. This talk is based on joint projects with Ben Schmidt (Michigan State) and Craig Sutton (Dartmouth College).

For more information on this event, please contact Lucas Yong.