The famous Dowker complex is the applied combinatorial topologist's go-to tool for studying relational data, but on its own it's rather limited. This talk will outline some richer structure built upon the Dowker complex and its dual category-theoretic and topological nature. The talk will also present a newly-discovered way to estimate distances between relations. These properties can be interpreted back into the context of the original application, giving new ways to identify what it means for files to comply with (or violate) a particular format.
TAG-DS is a hybrid seminar and will be available in-person at the UW Mathematics Department as well as online on Zoom. You can find the link to the zoom meeting here. If you would like to be added to our mailing list, you can do so by visiting this page.