CMSA Geometry and Physics Seminar: The geometry of Maurer-Cartan equation near degenerate Calabi-Yau varieties
CMSA EVENTS
When: June 22, 2020
9:30 am - 10:30 am
Speaker: Ziming Ma - CUHK
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. This is a joint work with Kwokwai Chan and Naichung Conan Leung.