Simplicial Spectral Theory

Presenter: Marco Guerra
Monday, January 18th, 2021 17:30
Location: Microsoft Teams – click here to join

Marco Guerra: Simplicial Spectral Theory

Simplicial complexes are often understood as a higher-dimensional generalization of graphs. The rich topological theory of which they form the foundation has recently tempted researchers to revisit many apparently disconnected concepts as instances of simplicial complexes. In this talk, we shall give an overview of some research avenues in this direction, mixing results and work currently in progress. We shall discuss topics such as spectral clustering, harmonic clustering, Laplacian eigenmaps and simplicial neural networks.

Biography: My current research interests lie in computational topology methods for network skeletonization, exploring ways of striking a balance between accuracy and compression.