Quantisation in monoidal categories and quantum operads

Abstract: The most standard description of symmetries of a mathematical structure produces a group. However, when the definition of this structure is motivated by physics, or information theory, etc., the respective symmetry objects might become more sophisticated: quasigroups, loops, quantum groups, ... In this talk I introduce and study quantum symmetries of very general categorical structures: operads. Its initial motivation were spaces of probability distributions on finite sets.

algebraic geometrycategory theoryquantum algebrarings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Noncommutative Shapes - halfway event