Quantum Symmetries

The notion of a group describes symmetry in mathematics. In recent decades, certain quantum mathematical objects have appeared whose symmetries are better described by group-like objects called tensor categories. Examples of areas of mathematics where tensor categories play a key role include subfactors, quantum groups, Hopf algebras, quantum topology and topological quantum computation. The aim of the school is to introduce graduate students to tensor category theory and their applications to Topological Quantum Field theory, Subfactor theory, and Hopf algebras.