Title: The fundamental group and the magnitude-path spectral sequence of a directed graph
Abstract:
The fundamental group of a directed graph, introduced by Grigor’yan, Lin, Muranov, and Yau, has a chromatic structure arising from the size of homotopies between paths. I will talk about a relation between this chromatic structure and the magnitude-path spectral sequence, as well as the chromatic Seifert-van Kampen Theorem.
This is a joint work with Yichen Tong (Westlake University, Hangzhou, China).