The weak categorical quiver minor theorem and its applications
Organizers
Speaker
Luigi Caputi
Time
Wednesday, April 10, 2024 4:00 PM - 5:00 PM
Venue
Online
Online
Zoom 928 682 9093
(BIMSA)
Abstract
The aim of the talk is to show that magnitude cohomology yields finitely generated functors on the category of directed graphs with bounded genus. We will use the framework of quasi-Groebner categories, as developed by Sam and Snowden, and show how to use it to obtain structural results of homology theories of (directed) graphs. We will discuss two main applications of the general theory, the first about the rank growth, and the second about the order of torsion, of magnitude cohomology groups.