BCN Spring 2016 Workshop: Number Theory & K-theory

3-dimensional TQFTs


Alexis Virelizier


There are two fundamental constructions of 3-dimensional topological quantum field theories (TQFTs): the eshetikhin-Turaev surgery TQFT, widely viewed as a mathematical realization of Witten's Chern-Simons TQFT, and the Turaev-Viro state sum TQFT, closely related to the Ponzano-Regge state sum model for 3-dimensional quantum gravity. In this talk, I will explain how these TQFTs are related via the Drinfeld-Joyal-Street center of monoidal categories.

Added in abstract:

Professor Alexis Virelizier awarded the Ferran Sunyer Prize 2016 for the monograph "Monoidal categories and topological field theory", a joint work with Vladimir Turaev.

The official ceremony of the award is afternoon 21th April at IEC. We thank professor Virelizier giving a talk of his work in the Workshop during his visit in Barcelona.


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