Mirror symmetry predicts that the moduli space of complex structures/special Lagrangians on one Calabi-Yau is dual to the moduli space of complexified forms/stable bundles on the mirror Calabi-Yau. However, the precise definition of a complexified Kähler form/stable bundle has remained mysterious. I will discuss these notions in the setting of Strominger-Yau-Zaslow mirror symmetry, the connection to fully non-linear PDEs and algebro-geometric stability. This talk will discuss joint works with A. Jacob and S.-T. Yau, and G. Szekelyhidi.
This video is part of Harvard University‘s conference JDG 2017.
