13–17 Dec 2021
Africa/Johannesburg timezone

Machine learning Calabi–Yau hypersurfaces

13 Dec 2021, 18:30
30m

Speaker

Edward Hirst (City, University of London)

Description

We examine the classic datasbase of Calabi-Yau hypersurfaces in weighted P4s with tools from supervised and unsupervised machine-learning. Surprising linear behaviour arises with respect to the Calabi-Yau’s Hodge numbers, with a natural clustering of the spaces. In addition, simple supervised methods learn to identify weights which produce spaces with CY hypersurfaces, with improved performance where the Hodge numbers take extreme values.

Author

Edward Hirst (City, University of London)

Presentation materials