学术报告(游凤龙 2025.4.25)
Relative mirror symmetry and some applications
发布人:姚璐
发布日期:2025-04-25
主题
Relative mirror symmetry and some applications
活动时间
-
活动地址
震寰堂C418
主讲人
游凤龙 助理教授(英国诺丁汉大学)
主持人
李长征 教授
Abstract: We consider mirror symmetry for a log Calabi--Yau pair (X,D), where X is a Fano variety and D is an anticanonical divisor of X. The mirror of the pair (X,D) is a Landau--Ginzburg model (X^v, W), where W is a function called the superpotential. Following the mirror constructions in the Gross--Sibert program, W can be described in terms of Gromov-Witten invariants of (X,D). I will explain a relative mirror theorem for the pair (X,D). As applications, I will explain how to compute the superpotential W, the classical period of W and more.