The aim of our workshop is to bring together researchers in each of these areas: homotopy theory, combinatorics, algebraic K-theory, and Hall algebras, to help facilitate not only the study of higher Segal spaces themselves, but also the interplay between these different fields with the goal of opening new research directions and forming collaborations. The participants of this workshop will also be at a range of career stages, from graduate students to established researchers, from several different countries, and gender diverse.