Math Colloquium - Social and Talk
Date: 3:30pm - 4:30pm PDT September 11, 2013 Location: John Howard 132
John Howard 132
At 3:30 – learn about department events, have snacks and socialize
At 4:00 – Talk by summer researchers - Colin Gavin and Sam Stewart
Orbigraphs: defining a graph theoretic analog to Riemannian orbifolds
Riemannian orbifolds are a slight generalization of Riemannian manifolds. Instead of being locally diffeomorphic to R^n, Riemannian orbifolds are locally diffeomorphic to R^n modulo the isometric action of a finite group. Recently, a number of authors have examined orbifolds from the perspective of inverse spectral geometry. In light of the strong connection between spectral geometry and spectral graph theory, our project defines a graph theoretic parallel of an orbifold, called an orbigraph, and obtains spectral results about orbigraphs.