Geometry and Topology

Speaker: Brandon Doherty (Western)

"Cubical models of $(\infty,1)$-categories (part 1)"

Time: 15:30

Room: Zoom Meeting ID: 958 6908 4555

We introduce the categories of cubical sets and marked cubical sets, and discuss the construction of a new model structure on the category of marked cubical sets with connections whose cofibrations are the monomorphisms and whose fibrant objects are defined by the right lifting property with respect to open boxes with certain edges marked. This talk is based on joint work with Chris Kapulkin, Zachery Lindsey, and Christian Sattler.