Title: Holomorphic Anomaly Equations For $C^n/Z_n$
Speaker: Deniz Genlik (Ohio State)
Speaker's URL: https://people.math.osu.edu/genlik.1/
Abstract: Physics approach to higher genus mirror symmetry predicts that Gromov-Witten potential of a Calabi-Yau threefold should satisfy certain partial differential equations; namely, the holomorphic anomaly equations. Recently, by works of Lho-Pandharipande, these equations are mathematically proved for some Calabi-Yau threefolds. One such example is $C^3/Z_3$. We generalized this example and proved holomorphic anomaly equations for $C^n/Z_n$ for $n$ greater than or equal to 3, which is a result beyond the consideration of physicists. This is a joint work in progress with Hsian-Hua Tseng.
URL associated with Seminar: https://research.math.osu.edu/agseminar/