Date/Time
Date(s) - 07/10/2025
11:30 am - 12:30 pm
Location: HH 312
Speaker: Fred Galetto (Cleveland)
Title: An introduction to jets of graphs
Abstract: The notion of jets comes from geometry, where it is used to study singularities. The space of jets of an affine variety can be constructed directly from the equations of the variety, and this procedure naturally extends to ideals in a polynomial ring. After reviewing this construction, we will examine how it applies to (squarefree) monomial ideals which leads to a new notion of jets for (hyper)graphs. Finally, we will explain how vertex covers of jet graphs are related to covers of the original graph.