Title: Lecture 1: The phenomenon of monodromy in 2D persistent homology.
Speaker: Patrizio Frosini (University of Bolohna)
Abstract: It is well-known that 2D persistent Betti numbers can be described by a collection of 1D persistence diagrams, each of which corresponding to a planar line with positive slope. Moving a line along a loop in the space of all planar lines with positive slope produces a permutation in the persistence diagram computed at the starting line in the loop. In other words, we have a phenomenon of monodromy. In this lecture we will illustrate this phenomenon and its relevance for the study and application of 2D persistent homology.
Seminar URL: http://www.tgda.osu.edu/mini-course-frosini.html