Title: Gonality of graphs – a survey
| Speaker: | Josse van Dobben de Bruyn |
| Affiliation: | Technical University of Denmark (DTU) |
| Location: | Please contact Sabrina Lato for Zoom link. |
Abstract: Over the past 30 or so years, the realization that graphs can be viewed as discrete analogues of Riemann surfaces has led to a fruitful interplay between algebraic geometry, tropical geometry, and graph theory. Among other things, this has led to the study of new graph parameters, including various notions of the gonality of a graph. In addition to its ties with algebraic and tropical geometry, graph gonality also turns out to have connections with chip-firing games, structural graph theory, and parametrized complexity. In this talk, I will introduce the two most common types of graph gonality (namely, divisorial gonality and stable gonality) and survey the most important results and open problems in this field, including the connections with the aforementioned topics.