Title: Quantum Symmetries and Conformal Nets
Abstract: A (rational) conformal net is a mathematical description of a chiral conformal field theory. Via its representation theory, it gives rise to a unitary modular tensor category, which gives a topological field theory and is a model for topological phases of matter. I will introduce a notion of quantum operations on a conformal net generalizing global symmetries which form a group. This gives a framework for "quantum symmetries" which also can be understood in the setting of unitary modular tensor categories. I will discuss how results involving global symmetries can be generalized.