### The Boardman-Vogt tensor product of operadic bimodules

**Hess, K ***(EPFL)*

Wednesday 03 April 2013, 11:30-12:30

Seminar Room 1, Newton Institute

#### Abstract

(Joint work with Bill Dwyer.) The Boardman-Vogt tensor product of operads endows the category of operads with a symmetric monoidal structure that codifies interchanging algebraic structures. In this talk I will explain how to lift the Boardman-Vogt tensor product to the category of composition bimodules over operads. I will also sketch two geometric applications of the lifted B-V tensor product, to building models for spaces of long links and for configuration spaces in product manifolds.