GTA Seminar | Speaker: Leander Stecker (IST-UL, Lisbon)

Title: Reducible skew-torsion holonomy and the heterotic G2-system

Abstract: We discuss Riemannian submersions induced through reducible holonomy of a connection with parallel skew-torsion. We introduce the necessary notions, the main theorem and move to an application where we see this intrinsic structure simplifying a complex system of equation. As such we introduce the heterotic G2-system. Investigating these equations on 3-(α, δ)-Sasaki manifolds we show that the aforementioned submersion greatly simplifies the system and leads us to new solutions. Based on joint work with Mateo Galdeano.