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 faulttolerant 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

From 3D TQFTs to 4D models with defects
Bianca Dittrich Perimeter Institute for Theoretical Physics

Hopf algebras and parafermionic lattice models
Joost Slingerland National University of Ireland

Frobenius algebras, Hopf algebras and 3categories
David Reutter Universität Hamburg




Interacting Hopf monoids and Graphical Linear Algebra
Pawel Sobocinski University of Southampton

Introduction to CQM
Ross Duncan University of Oxford



Topological defects and highercategorical structures
Jurgen Fuchs Karlstad University

Kitaev lattice models as a Hopf algebra gauge theory
Catherine Meusburger FriedrichAlexanderUniversität ErlangenNürnberg