Event Date:
Tuesday, May 28, 2013 - 3:30pm to 4:30pm
Event Location:
- 6635 South Hall
Event Contact:
Liang Chang
Email: liangchange@math.ucsb.edu
Abstract: A (2+1) topological quantum field theory (TQFT) is a symmetric tensor functor from the category of closed surfaces and 3-cobodisms to the category of finite dimensional vector spaces and linear maps. Turaev-Viro TQFTs were constructed in 1990s based on spherical fusion categories that are certain semisimple categories. I will discuss the generalization of TV-invariants for 3-manifolds based on non-semisimple Hopf algebras and the lattice model realizations of TV-TQFTs based on certain unitary
quantum groupoids.
October 16, 2014 - 3:39pm