Algebra/Topology Seminar by Rune Haugseng

Algebra/Topology Seminar by Rune Haugseng (Copenhagen)

Title: The AKSZ construction in derived algebraic geometry as an extended TQFT

Abstract: The AKSZ construction, as implemented by Pantev-Toën-Vaquié-Vezzosi in the context of derived algebraicvgeometry, gives a symplectic structure on the derived stack of maps from an oriented compact manifold to a symplectic derived stack. I will describe how this gives rise to a family of extended topological field theories valued in higher categories of symplectic derived stacks, with the higher morphisms given by a notion of higher Lagrangian correspondences. This is joint work in progress with Damien Calaque and Claudia Scheimbauer.