Holomorphic Anomaly Equations For $C^n/Z_n$

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Deniz Genlik
December 6, 2022
3:00PM - 4:00PM
Location
MW 154

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Add to Calendar 2022-12-06 15:00:00 2022-12-06 16:00:00 Holomorphic Anomaly Equations For $C^n/Z_n$ 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/ MW 154 Department of Mathematics math@osu.edu America/New_York public
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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/

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