On Morita equivalence of pointed fusion categories

Speaker:

Bernardo Uribe

Affiliation:

Universidad del Norte / MPIM

Date:

Thu, 15/12/2016 - 15:00 - 16:00

Location:

MPIM Lecture Hall [2]

Parent event:

Higher Geometric Structures along the Lower Rhine VIII [3]

Parent event:

MPI-Oberseminar [4]

Pointed fusion categories are characterized by a finite group and a 3-cocycle with values in U(1). In this talk I will show under which necessary and sufficient conditions two pointed fusion categories have equivalent categories of modules. Since Morita equivalent pointed fusion categories have isomorphic Drinfeld centers, we obtain as a byproduct isomorphic Drinfeld doubles associated to different groups and different 3-cocycles.