Description
The dendroidal formalism offers a powerful approach to
defining operads as specific presheaves on a tree-based category. This
combinatorial framework enables the definition of ∞-operads, wherein
composition is determined up to homotopy via presheaves that satisfy a
weak dendroidal inner Kan condition. Notably, the homotopy theory of
∞-operads has been shown to be equivalent, in both Quillen's sense and
Lurie's ∞-categorical sense, to the theories of topological and
simplicial operads.
In this talk we will review these concepts and present some open
questions in enriched settings.
