Metric SYZ conjecture

Seminar: 
Geometric Analysis and Application
Event time: 
Friday, February 25, 2022 - 2:00pm
Speaker: 
Yang Li
Speaker affiliation: 
MIT
Event description: 

Abstract:

One possible interpretation of the SYZ conjecture is that for a polarized family of CY manifolds near the large complex structure limit, there is a special Lagrangian fibration on the generic region of the CY manifold. Generic here means a set with a large percentage of the CY measure, and the percentage tends to 100% in the limit. I will discuss some recent progress on this version of the SYZ conjecture, with some emphasis on the special case of the Fermat family.