乐播传媒

Mathematical Physics Seminar, external speaker

1h virtual talk in MS Teams, followed by informal discussion

Speaker: Rune Haugseng (NTNU)

Title: Linear BV-quantization as a functor of infinity-categories

Abstract: I will describe a functorial construction of the (free/linear) BV-quantization of chain complexes equipped witha ntisymmetric forms of degree 1, in the context of infinity-categories. This induces quantizations of complexes with antisymmetric forms of degree 1-n to E_n-algebras, which for n=1 recovers the Weyl quantization of symplectic vector spaces. I will also discuss work inprogress aimed at describing free BV-theories as fully extended TQFTs,which for instance recovers Fock modules for Lagrangian subspaces. This is all joint work with Owen Gwilliam.