Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Volodymyr Lyubashenko
Affiliation:

Zürich Universität
Date:

Tue, 31/05/2022 - 13:45 - 15:30 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/10472