Affiliation:
Dalhousie University
Date:
Thu, 09/01/2025 - 13:30 - 15:00
The cobordism hypothesis classifies extended topological quantum
field theories (TQFTs) in terms of algebraic information in the target
category. One of the core principles in quantum field theory - unitarity -
says that state spaces are not just vector spaces, but Hilbert spaces.
Recently in joint work with many others, we have defined unitarity for
extended TQFTs, inspired by Freed and Hopkins. Our main technical tool is a
higher-categorical version of dagger categories; categories $C$ equipped