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Shuang-Yen Lee (NTU)
2025-10-20, 11:40-12:30
Room 202, Astronomy and Mathematics Building

In this talk, I will describe the relation between $QH(X)$ and $QH(Y)$ for a Type II transition $Y \searrow X$ and the limit of Novikov variables. The proof draws on several key ingredients: (i) the canonical local B-model associated with $Y \searrow X$, (ii) the existence of a semistable reduction of double-point type for the smoothing, (iii) the modularity of the extremal function $\mathbb{E} := E^3 / \langle E, E, E\rangle^Y$, and (iv) period integrals of Eisenstein series. If time permits, I will also discuss some results on Type III transitions. This is a joint work with Chin-Lung Wang and Sz-Sheng Wang.