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Algebraic Geometry On Fridays - Dr. Xun Yu

posted Oct 12, 2014, 9:54 PM by Hyemin Shin   [ updated Oct 12, 2014, 9:56 PM ]

Title: On smooth isolated curves in general complete intersection Calabi-Yau threefolds


Speaker: Dr. Xun Yu (GAIA, POSTECH)



Let Y be a Calabi-Yau threefold. Then the expected dimension of the deformation space of a locally complete intersection curve in Y is zero. However, for a given pair (d,g) it is hard to show the existence of a curve of degree d and genus g on Y and even when the existence is shown, it is very hard to prove that the curve is rigid in Y. Recently Knutsen finds a powerful method to show existence of smooth isolated curves in complete intersection Calai-Yau threefolds (CICY). In this talk, I will first recall Knutsen's method and then explain how to use a variant of it to construct new examples of smooth isolated curves in general CICY. I will also mention some open problems.



Place: GAIA Seminar Room (#106, Math Science bldg.)

Date: 14:00-15:00, October 17, 2014