Session S27 - Categories and Topology

Wednesday, July 21, 16:00 ~ 16:30 UTC-3

Towards 2-dimensional Tannaka duality

Nick Gurski

Case Western Reserve University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Ordinary Tannaka duality recovers a coalgebra by a coend construction using the forgetful functor from comodules or finite dimensional comodules to vector spaces. In addition, structure on the forgetful functor - such as being monoidal - corresponds to additional structure on the coalgebra. In this talk, I will describe a joint project with David Yetter to generalize the abstract methods of Tannaka duality to a 2-categorical setting in which coends are replaced with codescent objects, coalgebras are replaced with pseudocomonoids, and interesting variants of the slice 2-category appear in order to produce different kinds of morphisms between 2-categories of pseudocomodules.

Joint work with David Yetter (Kansas State University).

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