Walter Mazorchuk, Uppsala University, Sweden
Adjunction in the absence of identity

In this talk I plan to present and discuss a rather weak bicategorical setup in which one can talk about genuine adjoint 1-morphisms. I will describe the main motivation from representation theory of finitary 2-categories (or bicategories) and make some parallells with the stucture theory of finite semigroups. I will also try to show how this approach simplifies formulation of some results from 2-representation theory, but also how it makes some other “classical” results much more difficult.

Joint work with Hankyung Ko and Xiaoting Zhang.

Additional file

Walter Mazorchuk's slides

To join the session on zoom a password is required. Please subscribe to the mailing list for our regular TQFT Club seminars to receive password information and updates about the mini-workshop.

There will be a 20 minute discussion period / coffee break at the end of this talk.