The Graph Laplacian with Applications

Event time: 
Wednesday, June 26, 2019 - 2:00pm
LOM 206
Ryan Pellico
Speaker affiliation: 
Trinity College
Event description: 
Abstract:  The Laplace operator is one of the most ubiquitous objects in modern mathematics and classical physics. For example, it is a central object of study in Harmonic Analysis and Potential Theory, while the field of Spectral Geometry investigates the relationships between the geometry of a space, and the spectrum of the Laplace operator on that space. In this talk, we will introduce a discrete version of the Laplace operator defined on graphs and examine a few of the myriad connections that have been established between problems in partial differential equations, probability, geometry, and more!