#  Yasuyuki Kawahigashi (University of Tokyo/RIKEN): Tensor networks, fusion categories and operator algebras 

 



####  calendar\_today Date and Time 

 **October 23, 2025** 

 04:00PM - 05:00PM EDT 

####  pin\_drop Location 

 **Jefferson 368**  



 

 



 

Passcode: 657361

Speaker: Yasuyuki Kawahigashi

Title: Tensor networks, fusion categories and operator algebras

Abstract: Certain 4-tensors have been used to study two-dimensional topological order, and we identified them with bi-unitary connections in subfactor theory of Jones before. This identification gives a description of a fusion category using a (possibly non-flat) bi-unitary connection, which arises as quantum 6j-symbols for a multi-fusion category. We further advance this identification by working on the zipper condition, which is a kind of pentagon equation, and flat fields of strings.



 

 



 

 

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