25–29 Aug 2025
Monona Terrace
US/Central timezone

Learning New Constructions of Toric Calabi-Yau Manifolds with Transformers

25 Aug 2025, 14:40
20m
Room E (Monona Terrace)

Room E

Monona Terrace

String Theory + Formal Theory Developments Parallel

Speaker

Jacky Hoi Tung Yip (University of Wisconsin-Madison)

Description

Fine, regular, and star triangulations (FRSTs) of 4-dimensional reflexive polytopes generate toric varieties, within which Calabi-Yau threefolds can be embedded as hypersurfaces. We use transformers---deep learning models originally developed for language modeling---to generate FRSTs of polytopes of varying sizes. Our method shows promising scalability with polytope size and can be continuously improved through self-improvement and priming strategies, laying the groundwork for a self-updating online database of Calabi-Yau manifolds.

Author

Jacky Hoi Tung Yip (University of Wisconsin-Madison)

Presentation materials