Joachim Kock: Operadic categories and 2-Segal spaces

Abstract: Batanin and Markl introduced the notion of operadic
category as a machinery used to prove the duoidal Deligne
conjecture. I will explain a new approach to operadic
categories based on the decalage comonad, and explain
how discrete 2-Segal spaces are a special case of operadic 
categories.  This is joint work with Richard Garner and Mark
Weber.