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Hamiltonian systems, symplectic flows, classical integrable systems
5
votes
Accepted
Mirror symmetry for singular Lagrangian torus fibrations
Yes, there is a concrete program on how to handle singular fibers in the SYZ fibration and several steps of this program are already completed.
You can watch the videos of Abouzaid lectures on the su …
18
votes
Accepted
Finite fundamental groups of 3-dimensional Calabi-Yau manifolds
This intuition seems to be only loosely right. There are many smooth compact CY threefolds with large fundamental groups. For instance $\mathbb{Z}/3\times \mathbb{Z}/3$, $\mathbb{Z}/8\times \mathbb{Z …