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SUMMARY:Hopf algebras and 3-categories - David Reutter (Oxford)
DTSTART:20180427T140000Z
DTEND:20180427T150000Z
UID:TALK105157@talks.cam.ac.uk
CONTACT:Nils Prigge
DESCRIPTION:It is well known that commutative Frobenius algebras can be re
 presented as oriented surfaces\, using the graphical calculus of dualizabl
 e 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 ca
 tegorical algebra\, I will not assume any previous knowledge of the subjec
 t.\n
LOCATION:MR13
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