Ján Pulmann: Lagrangian Relations, Half-Densities and Quantum L∞ Algebras

Speaker
Ján Pulmann, University of Edinburgh

Abstract
Lagrangian relations model maps and more general correspondences between physical systems.
In Batalin-Vilkovisky formalism, it is natural to generalize Lagrangian relations to distributional half-densities,
 as advocated by Ševera. We give a rigorous definition of linear distributional half-densities and describe their
composition, thus constructing a linear version of a quantum odd symplectic category. As an application, we describe
the computation of the BV effective action as a composition in this category. Based on [arXiv:2401.06110], joint with B. Jurčo and M. Zika