Holomorphic bundles and Lagrangian submanifolds in mirror symmetry

If a Calabi-Yau manifold is a special Lagrangian torus fibration, then one can construct its mirror manifold. The mirror is still a Calabi-Yau manifold which is again a torus fibration. The mirror is the so called "D-brane moduli space" in string theory. A version of the Strominger-Yau-Zaslow program predicts a correspondence between (stable) holomorphic bundles on the domain space and the (special) Lagrangian submanifolds in its mirror. In this talk, I will discuss the results Gang Tian and I have obtained on this correspondence.

Refreshments will be served in Math Annex Room 1115, 3:15 p.m.