turkmath.org

We In this talk we will talk about coloured operads (also called multicategories in the literature) and their nerves. A coloured operad is to an operad what a category is to a monoid, just a many object version. The natural place to take the nerve of categories is the category of simplicial sets. For coloured operads we introduce a presheaf category called dendroidal sets and introduce a nerve construction having similar properties. Time permitting we may discuss some homotopy theoretic notes and the W-construction.