April 17, 2023 to July 14, 2023
Institut Henri Poincaré, Paris
Europe/Paris timezone

Francesca Pratali : Dendroidal ∞-operads

Jul 5, 2023, 9:45 AM
Amphitheater Darboux (Institut Henri Poincaré, Paris)

Amphitheater Darboux

Institut Henri Poincaré, Paris

11, rue Pierre et Marie Curie 75005 Paris


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.

Presentation materials

There are no materials yet.