Speaker: Michael Robinson (American University)
Title: The category of relations and its topology
Speaker's URL: http://www.drmichaelrobinson.net/
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. 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.