Counting curves on Calabi-Yau 3-folds is one of the most central topics in modern enumerative geometry. Recently, the theory has been extended to curves on Calabi-Yau 4-folds. In this talk, we discuss counting surfaces on Calabi-Yau 4-folds. A new feature is a deep connection to the Hodge theory. In particular, the surface counting invariants can detect Grothendieck's variational Hodge conjecture. This is joint work with Younghan Bae and Martijn Kool.

일시: 10월 18일 (화) 16:40-17:10
장소: 129동 101호 /