Nicola Gambino, School of Mathematics, University of Leeds

Title:  Bicategories of bimodules

Abstract: The notion of a bicategory is a generalisation of the notion of a category which is obtained by allowing the composition of morphisms to be associative and unital up to isomorphism, rather than strictly. This generalisation is useful to capture many naturally-occurring mathematical structures. For example, there is a bicategory with rings as objects and bimodules as morphisms, in which composition of morphisms is given by tensor product of bimodules.
In this talk, after introducing bicategories, I will review the so-called "bimodule construction” for bicategories, present some examples of it and some new results, based on joint work with Andre’ Joyal.