中央研究院數學研究所

Algebraic Geometry Seminar

Quantum Extremal Transitions and Special L-values

2025/08/13 (Wed.) 15:00~17:00

Date : 2025/08/13 (Wed.) 15:00~17:00
Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
Speaker : Shuang-Yen Lee (National Taiwan University)
Abstract : In this talk, I will describe the relation between $QH(X)$ and $QH(Y)$ for a Type II transition $Y \searrow X$. The proof draws on several ingredients: (i) the canonical local B model attached to $Y \searrow X$, (ii) existence of 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. This is a joint work with Chin-Lung Wang and Sz-Sheng Wang.