**Collection Number**C17029

**Collection Date**-

**Collection Type**Conference/School

The Kitaev quantum double models are a family of topologically ordered spin models originally proposed to exploit the novel condensed matter phenomenology of topological phases for fault-tolerant quantum computation. Their physics is inherited from topological quantum field theories, while their underlying mathematical structure is based on a class of Hopf algebras. This structure is also seen across diverse fields of physics, and so allows connections to be made between the Kitaev models and topics as varied as quantum gauge theory and modified strong complementarity. This workshop will explore this shared mathematical structure and in so doing develop the connections between the fields of mathematical physics, quantum gravity, quantum information, condensed matter and quantum foundations.

### Format results

### The Hopf C*-algebraic quantum double models - symmetries beyond group theory

**Talk Number**PIRSA:17070063

### Modular categories and the Witt group

**Talk Number**PIRSA:17070064

### Gapped phases of matter vs. Topological field theories

**Talk Number**PIRSA:17070066

### An Introduction to Hopf Algebra Gauge Theory

**Talk Number**PIRSA:17080001

### Kitaev lattice models as a Hopf algebra gauge theory

**Talk Number**PIRSA:17080002

### Symmetry-enriched topological order in tensor networks: Gauging and anyon condensation

**Talk Number**PIRSA:17080013