Presented by:
Claudia Scheimbauer
Date:
Tuesday 27th November 2018 - 14:00 to 15:00
Venue:
INI Seminar Room 2
Abstract:
Derived
algebraic geometry and derived symplectic geometry in the sense of
Pantev-Toen-Vaquié-Vezzosi allows for a reinterpretation/analog of the
classical AKSZ construction for certain $\sigma$-models. It is given by taking
mapping stacks with a fixed target building and describes ``semi-classical
TFTs". Using the formalism of derived algebraic geometry as a blackbox, I will sketch how this
construction yields extended TFTs, which involves harnessing many higher
homotopies. This
is joint work in progress with Damien Calaque and Rune Haugseng.