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Algebra and Geometry Seminar

Thursday, May 2, 2024
3:45pm to 5:00pm
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Linde Hall 187
GW/FJRW correspondence for quasi-homogeneous polynomials
Yefeng Shen, Department of Mathematics, University of Oregon,

For a quasi-homogeneous polynomial, we study a correspondence between the genus-zero Gromov-Witten theory of the hypersurface determined by the polynomial and the genus-zero Fan-Jarvis-Ruan-Witten theory of the singularity determined by the polynomial. This generalizes the genus zero Landau-Ginzburg/Calabi-Yau correspondence studied in the work of Chiodo-Iritani-Ruan, when the hypersurface is Calabi-Yau. The Gamma structures in the GW/FJRW theory play a key role in this story. The talk is based on work (in progress) joint with Jie Zhou, and earlier work (arXiv:2309.07446) joint with Ming Zhang.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].