Appears in collection : 2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Dg bundles are surjective submersions of dg manifolds, which are fiber bundles in the category of graded supermanifolds. The purpose of the talk is to show how dg-bundles appear in the context of characteristic classes, BV-BRST formalism in local field theory, and complex geometry. The talk is based on joint research with Thomas Strobl, Maxim Grigoriev and Camille Laurent-Gengoux.