Twisted arrow categories of simplicial operads (II)
Speaker: Hoàng Mạnh Trường (Viện Toán học)

Time: 14h, Thursday, October 14, 2021 (Vietnam time).

Link Online: meet.google.com/zsh-jnxc-eit

Abstract: In homotopy theory, operads were known to be a powerful tool for exploring homotopical properties of various types of algebras. Furthermore, infinity categories could become a favorable environment for classifying homotopy types of simplicial operads (or topological operads). In this talk, I introduce a homotopy invariant from simplicial operads to infinity categories named Twisted arrow functor. The main interest in this construction is that the Quillen cohomology of a simplicial operad is classified by its twisted arrow category.