Weak SYZ conjecture for hypersurfaces in the Fermat family

DIFFERENTIAL GEOMETRY

Speaker:

Yang Li - Institute for Advanced Study

The SYZ conjecture predicts that for polarised Calabi-Yau manifolds undergoing the large complex structure limit, there should be a special Lagrangian torus fibration. A weak version asks if this
fibration can be found in the generic region. I will discuss my recent work proving this weak SYZ conjecture for the degenerating hypersurfaces in the Fermat family. Although these examples are quite
special, this is the first construction of generic SYZ fibrations that works uniformly in all complex dimensions.

If you would like to attend, please email spicard@math.harvard.edu