Topological field theories with boundaries - some constructions and some applications

Christoph Schweigert (U Hamburg)

Aug 31. 2020, 15:30 -- 16:30

Topological field theory and, more generally, modular functors, defined
on three-manifolds with boundaries has various applications in physics
and in mathematics. We describe a state-sum construction based on
non-semisimple categories and its applications. This includes
in particular the description of the Brauer-Picard group of a finite
tensor category and the equivariant Frobenius-Schur indicator.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)