# Constructing extended AKSZ topological field theories in derived symplectic geometry

HHH - Homotopy harnessing higher structures

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.

This talk is part of the Isaac Newton Institute Seminar Series series.