UCalgary Peripatetic Seminar: Éric Hoffbeck

The first goal of this talk will be to introduce the dendroidal world, which generalises the simplicial world. Instead of working with the category Delta, we will work with the category Omega, a category of trees, introduced by Moerdijk and Weiss. Presheaves on Delta are called dendroidal sets and generalise simplicial sets. I will explain how operads and infinity-operads appear in this setting. In a second part, I will introduce a notion of homology for infinity-operads, using a bar construction. This is a joint work with Ieke Moerdijk.