Event

Fusion higher categories have recently been of interest for their ability to describe the topological content of quantum field theories. Among the set of topological operators, are ones that are noninvertible. I will present an important physical setting known as a topological order which contains noninvertible operators, and define it as a monoidal n-category.  I will also explain the techniques for their classification in low dimension. I then present the notion of an anomaly for a noninvertible symmetry enacted by surface operators. By using the techniques introduced for classifying topological orders, I will give examples of when we have reasonable control over these anomalies.