7–11 Jul 2025
Northeastern University
US/Eastern timezone

Learning New Constructions of Toric Calabi-Yau Manifolds with Transformers

8 Jul 2025, 15:48
17m
ISEC (Northeastern University)

ISEC

Northeastern University

Interdisciplinary Science & Engineering Complex (ISEC) 805 Columbus Ave, Boston, MA 02120

Speaker

Jacky Hoi Tung Yip

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.

Presentation materials