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The Strominger system of differential equations


Scientist in charge: Luis Álvarez-Cónsul.

Experienced Researcher: Mario Garcia-Fernandez

Project Reference: 655162

Start Date: 2015-07-01

End Date: 2017-06-30


This project is devoted to the study of a system of partial differential equations of great relevance in modern geometry and theoretical physics. The Strominger system arises in the theory of heterotic supergravity and has been proposed by Shing-Tung Yau as one of the fundamental perspectives of complex geometry, in relation to the moduli problem for Calabi-Yau manifolds. The goal is to complete four research tasks, designed, on the one hand, to make progress on Yau's conjecture for the Strominger system and, on the other hand, to understand rigorously, in one simple example, a conjectural, fundamental, symmetry of the underlying physical theory, known as (0,2)-mirror symmetry. This will be achieved using the theory of generalized geometry introduced by N. Hitchin.


Bandera UE

This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 655162.