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.