Erlangen 2026 – scientific programme

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PV: Plenarvorträge

PV V

PV V: Plenary Talk

Tuesday, March 17, 2026, 09:45–10:30, AudiMax

Invariants of Topological Order: An Operator-Algebraic Approach — •Yoshiko Ogata — Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 JAPAN

Recently, topological phases of matter have attracted significant attention in physics and mathematics. In this talk, I will explain the operator-algebraic approach to this subject. This approach allows us to treat infinite systems directly. A key benefit of considering infinite systems is that it provides a stable theory. In particular, this framework enables us to describe quasi-particle excitations, known as anyons, as invariants in the classification of topological order, in a mathematically rigorous way. I will also present recent developments within this framework.

Keywords: Anyon; topological phases of matter