Algebraic Geometry Seminar
Canonical Scattering and the Higher Dimensional Tropical Vertex
2024/12/23 (Mon.) 14:30~15:30
- Date : 2024/12/23 (Mon.) 14:30~15:30
- Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
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Speaker : Hulya Arguz (University of Georgia)
- Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
- Abstract : In joint work with Mark Gross, we show that punctured log Gromov--Witten invariants of Abramovich--Chen--Gross--Siebert, in the case of log Calabi--Yau varieties obtained by blows ups of toric varieties along hypersurfaces on the toric boundary, can be captured from a combinatorial algorithm encoded in a scattering diagram. This is an extension of the previous work of Gross--Pandharipande--Siebert to higher dimensions.