A universal property of the higher category of spans and finite gauge theory as an extended TFT

Speaker:

Claudia Scheimbauer

Zugehörigkeit:

TU München

Datum:

Mit, 19/10/2022 - 11:00 - 12:00

Location:

Online talk [2]

Parent event:

Conference on "Algebraic Topology, in memory of Hans-Joachim Baues", October 17 - 21, 2022 [3]

Online talk.

I will explain how to generalize Harpaz’ universal property of the (infty, 1)-category of spans to the higher category thereof. The crucial property is “m-semiadditivity”. Combining this with the finite path integral construction of Freed-Hopkins-Lurie-Teleman this yields finite gauge theory as a fully extended TFT. This is joint work in progress with Tashi Walde.