Talk page
Title:
Futaki invariants and harmonic metrics for the Hull-Strominger system
Speaker:
Abstract:
The Hull-Strominger system has been proposed by Yau as a tool for the geometrization of conifold transitions to address Reid’s fantasy on the moduli of Calabi-Yau threefolds. Accordingly, a conjecture for the existence of solutions was put forward. In this talk, we will recast the system in generalized-geometric terms and explain its relation with a Hermite-Einstein type condition for Courant algebroids, and we produce a new family of holomorphic invariants which obstruct the system beyond the existence of balanced metrics and stabilility of the bundles as a consequence. Interestingly, the conditions under which this holds tie in with natural equations in supergravity and generalized geometry. We then move on to explore a conjectural picture of stability conditions for Courant algebroids and a notion of harmonic metrics in relation to the Hull-Strominger system with the aim of producing obstructions reminiscent of GIT.
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