Algebra/Topology Seminar 06112020

Speaker: Nathalie Wahl

Title: Infinity operads: an example

Abstract: I'll present joint work with Safia Chettih, Abigail Linton, Luciana Bonatto, Sophie Raynor and Marcy Robertson where we give an explicit description of the normalized cactus operad as an infinity operad, a natural example of an operad whose composition is only associative up to homotopy. Our main tool is an analogue of the A-infinity operad for operads, that is an operad that controls the higher homotopies of operad composition.