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Non-archimedean cylinder counts and punctured log Gromov-Witten invariants
Algebraic Geometry and Number Theory| Speaker: | Thorgal Hinault, Occidental College |
| Related Webpage: | https://www.oxy.edu/academics/faculty/thorgal-hinault |
| Location: | 2112 MSB |
| Start time: | Wed, Apr 29 2026, 12:10AM |
Description
I will report on a project whose aim is to relate non-archimedean Gromov-Witten invariants constructed by Keel-Yu to punctured log Gromov-Witten invariants. The strategy relies on degenerating a point constraint and has been fully worked out in the case of cylinders counts for log Calabi-Yau surfaces, leading to a comparison of the Gross-Siebert and Keel-Yu mirror algebras via scattering diagrams. I will also discuss challenges faced when generalizing this to higher dimensions. Based on arXiv:2510.18319 (joint with T. Y. Yu) and ongoing work with S. Johnston, S. Karwa, and P. Zaika.