The real Monge-Ampère equation on the boundary of a simplex, and the SYZ conjecture
par
Mattias Jonsson(University of Michigan)
→
Europe/Paris
Description
The SYZ conjecture concerns the geometry of the fibers of a degenerating family of complex Calabi--Yau manifolds. Recent deep work by Yang Li reduces this to a conjecture in non-Archimedean geometry. I will report on joint work with Hultgren, Mazzon, and McCleerey where we prove the latter conjecture in a particular case. The key step in our approach is to solve a real Monge-Ampère equation on the boundary of a simplex.