Metric SYZ conjecture

Fri Feb 25, 2022 2:00 p.m.—3:00 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Geometric Analysis and Application

Event time: 
Friday, February 25, 2022 - 2:00pm

Speaker: 
Yang Li

Speaker affiliation: 
MIT

Event description: 
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.