ERC Starting Grant · 2024
Bordism of symmetries: From global groups to derived orbifolds
Bordism theory connects many central areas of mathematics: Defined via smooth manifolds, it has proved to have deep connections to formal groups from algebraic geometry and stable homotopy theory from algebraic topology. In particular, complex bordism serves as an effective organizational tool for studying the stable homotopy category, splitting up the homotopy groups of spheres into components of different wavelengths. The goal of BorSym is to develop a similarly powerful correspondence that classifies the symmetry of spaces through novel connections to equivariant algebraic geometry and smooth actions. While such a relationship for symmetries has long been conjectured, it was only…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.