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Hopf algebras and 3-categories

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  • UserDavid Reutter (Oxford)
  • ClockFriday 27 April 2018, 15:00-16:00
  • HouseMR13.

If you have a question about this talk, please contact Nils Prigge .

It is well known that commutative Frobenius algebras can be represented as oriented surfaces, using the graphical calculus of dualizable objects in monoidal 2-categories. I will build on related ideas to show that certain Hopf algebras arise naturally in a similar way, by requiring a single 3-morphism in a 3-category to be invertible. This gives a purely geometrical proof of Mueger’s version of Tannakian reconstruction of Hopf algebras from fusion categories equipped with a fiber functor. This talk is intended as an informal introduction to several topological ideas in categorical algebra, I will not assume any previous knowledge of the subject.

This talk is part of the Junior Geometry Seminar series.

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