Title: Operator algebras, bi-unitary connections and tensor networks
Instructor: Prof. Yasuyuki Kawahigashi (The University of Tokyo)
Venue: Classroom A3-4-101
Abstract: Tensor categories have emerged as a new type of “quantum symmetry” generalizing classical group symmetry in various fields of mathematics and physics such as quantum groups, quantum topological invariants, quantum information, vertex operator algebras, conformal field theory and topological order in condensed matter physics. The Jones theory of subfactors in operator algebras give a powerful method to study such symmetries. A bi-unitary connection is a tool to describe such tensor categories using finite dimensional unitary matrices and particularly suited to study tensor networks in 2-dimensional topological order.
He will present this theory without assuming knowledge on operator algebras.
| Date | Time |
|---|---|
| April 16 | 3:20~4:55PM |
| April 17 | 3:20~4:55PM |
| April 23 | 3:20~4:55PM |
| April 24 | 3:20~4:55PM |
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