Determining the Determinant of the Laplacian

In this one-of-a-kind mathematical epic, we will draw from analysis, geometry, number theory, combinatorics, physics and PDEs as we explore the various notions of what it means to take the determinant of the Laplacian, the operator which describes how heat flows. Join me in admiring the surprising connections between this mysterious quantity and the underlying structures on which it is defined, ranging from discrete graphs to smooth manifolds.