Modul:   MAT074  Talks in mathematical physics

Towards geometric functorial field theories via perturbative quantization

Talk by Dr. Konstantin Walter Wernli

Speaker invited by: Prof. Dr. Alberto Cattaneo

Date: 18.12.23  Time: 13.15 - 14.15  Room: Y27H25

I will describe a program to define functorial field theories, i.e. functors with source a cobordism category, in the Riemannian setting. Our main tool is the perturbative definition of the Feynman path integral. I will present results for the two-dimensional case and very recent results when the space-time is a graph. Finally, I will describe some work in progress addressing challenges when going to higher dimensions.