Geometry Seminar
The square of a constrained parallel complex spinor
Speaker: Alejandro Gil García (SISSA)Date: Wednesday, 30 September 2026 - 11:30Place: Aula Gris 2, ICMAT
Abstract:
We develop the theory of complex spinorial forms associated with irreducible complex spinors across all dimensions and signatures. This framework enables the study of constrained parallelism conditions for irreducible complex spinors by reformulating them as equivalent differential systems for exterior forms within a prescribed semi-algebraic body of the Kähler-Atiyah bundle. The development of this general framework is inspired by the method of bilinears, which emerged in the supergravity literature as a formalism for classifying and studying supersymmetric solutions. This is joint work with Carlos Shahbazi. The talk is based on https://arxiv.org/abs/2510.13801 and https://arxiv.org/abs/2605.22798.
