MATH Semineri: “Holomorphic anomaly equations for C^n/Z_n”, Deniz Genlik, 15:40 17 Kasım (EN)

You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.

Speaker: Deniz Genlik (Ohio State University)
“Holomorphic anomaly equations for C^n/Z_n”

Abstract: In this talk, we present certain results regarding the higher genus Gromov-Witten theory of C^n/Z_n obtained by studying its cohomological field theory structure in detail. Holomorphic anomaly equations are certain recursive partial differential equations predicted by physicists for the Gromov-Witten potential of a Calabi-Yau threefold. We prove holomorphic anomaly equations for C^n/Z_n for any n≥3. In other words, we present a phenomenon of holomorphic anomaly equations in arbitrary dimension, a result beyond the consideration of physicists. The proof of this fact relies on showing that the Gromov-Witten potential of C^n/Z_n lies in a certain polynomial ring. This talk is based on the joint work arXiv:2301.08389 with Hsian-Hua Tseng.

Date: 17 November 2023, Friday
Time: 15:40 (GMT+3)
Place: Zoom

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