Title: Fourier Mukai transforms for Calabi-Yau fibrations
Abstract: I will talk about the result of how Fourier Mukai transforms give a derived equivalence between a threefold and its moduli of sheaves. The result as well as some ideas of proof will be elaborated with an example of the anticanocal divisor inside P^2 \times P^2. In the end, as an application, I will talk about how to use this result to compute the local GV invariants on a weierstrass model.