The geometry of Maurer-Cartan equation near degenerate Calabi-Yau varieties
Ziming Ma/馬梓銘 (The Chinese University of Hong Kong)
Abstract: In this talk, we construct a dgBV algebra PV(X) associated to a possibly degenerate Calabi- Yau variety X equipped with local thickening data. This gives a version of the Kodaira-Spencer dgLa which is applicable to degenerated spaces including both log smooth or maximally degenerated Calabi-Yau. We use this to prove an unobstructedness result about the smoothing of degenerated Log Calabi-Yau varieties X satisfying Hodge-deRham degeneracy property for cohomology of X, in the spirit of kontsevich-katzarkov-pantev. If time permitted, I will describe construction of certain class of mirror vector bundles from Lagrangian multi sections using deformation of pairs. This is based on joint works with Kwokwai Chan, Naichung Conan Leung and Yat-Hin Suen.
Mathematics
Audience: researchers in the topic
| Organizers: | Shing Tung Yau, Shiu-Yuen Cheng, Sen Hu*, Mu-Tao Wang |
| *contact for this listing |