Pure Mathematics Colloquium | Yasuyuki Kawahigashi | Operator algebras, conformal field theory and condensed matter physics

We present an operator algebraic approach to conformal field theory in connection to other topics such as vertex operator algebras, quantum groups and quantum invariants in low-dimensional topology, which started with subfactor theory of Jones. We then present recent advances on similar mathematical structures that appear in two-dimensional condenses matter physics such as quantum spin systems, tensor networks and topological quantum computation. No knowledge on operator algebras are assumed.

MC 5479