Bimodules over categories enriched over closed monoidal categories and A∞-categories

For zoom details contact: Gaetan Borot (gaetan.borot@hu-berlin.de)

It seems that the definition of an A∞category has to be extended in order to have wider applications.
We propose to extend it to the context of bimodules over V-categories. The ground category V is
assumed to be additive, closed symmetric monoidal, complete and cocomplete. We propose a
framework for enriched A∞-categories: we choose a V-category D, then we define an A∞-category
as a tensor D-bimodule equipped with the deconcatenation comultiplication and coderivation whose
square in a sense is 0.