Degenerating Hodge structure of one-parameter family of Calabi--Yau threefolds
15:30:00 - 16:30:00
103 , Mathematics Research Center Building (ori. New Math. Bldg.)
For a one-parameter family of Calabi--Yau threefolds, one can construct an extended period map via the log Hodge theory introduced by Kato and Usui. Hayama and Kanazawa studied the image of a maximal unipotent monodromy point under this extended period map and proved the generic Torelli theorem for a large class of one-parameter families of Calabi--Yau threefolds. In this talk, I will explain their idea and proof. Reference: T. Hayama and A. Kanazawa, Degenerating Hodge structure of one-parameter family of Calabi--Yau threefolds. arXiv:1409.4098.