Wednesday, June 26, 2019
06/26/2019 - 2:00pm
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!