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Thursday, February 27, 2025
4:00 PM - 5:00 PM

Algebra and Geometry Seminar

Remodeling Conjecture with descendants
Song Yu, Yau Mathematical Sciences Center, Tsinghua University,

USC, Kaprelian Hall, Room 414

The Remodeling Conjecture of Bouchard-Klemm-Mariño-Pasquetti obtains all-genus open-closed Gromov-Witten invariants of a toric Calabi-Yau 3-fold from Chekhov-Eynard-Orantin topological recursion on the mirror curve. In this talk, I will discuss an extension of this framework to descendant mirror symmetry, that is, the all-genus descendant Gromov-Witten invariants can be obtained from the Laplace transform of topological recursion invariants. The result is based on a correspondence between equivariant line bundles supported on toric subvarieties and relative homology cycles on the mirror curve, which provides an identification of integral structures. I will also discuss an application to Hosono's conjecture if time permits. This talk is based on joint work in progress with Bohan Fang, Chiu-Chu Melissa Liu, and Zhengyu Zong.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.