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SUMMARY:Introduction to topological quantum field theory (with defects) - 
 Lecture 2 - Nils Carqueville (University of Vienna)
DTSTART:20250909T080000Z
DTEND:20250909T093000Z
UID:TALK234076@talks.cam.ac.uk
DESCRIPTION:These lectures give an introduction to the (higher) categorica
 l approach to topological quantum field theories. We start with a brief re
 view of symmetric monoidal categories\, and define TQFTs as symmetric mono
 idal functors on bordism categories. After some classification results in 
 low dimension in the case without defects\, we move on to the case with de
 fects\, i.e. when bordisms are non-trivially stratified. Here we explain g
 eneral results on how to obtain n-categories from n-dimensional&nbsp\;defe
 ct TQFTs for n in {1\,2\,3}\, and we describe the case of lattice models (
 or state sum models) in more detail. Time permitting\, we also discuss the
  general theory of gauging not-necessarily-invertible symmetries described
  in terms of topological defects.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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