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Machine Learning G2 Geometry

CMSA EVENTS: CMSA NEW TECHNOLOGIES IN MATHEMATICS

When: March 5, 2025
2:00 pm - 3:00 pm
Where: CMSA, 20 Garden St, G10
Address: 20 Garden Street, Cambridge, MA 02138, United States
Speaker: Elli Heyes (Imperial College London)

Compact Ricci-flat Calabi-Yau and holonomy G2 manifolds appear in string and M-theory respectively as descriptions of the extra spatial dimensions that arise in the theories. Since 2017 machine-learning techniques have been applied extensively to study Calabi-Yau manifolds but until 2024 no similar work had been carried out on holonomy G2 manifolds. In this talk, I will firstly show how topological properties of these manifolds can be learnt using neural networks. I will then discuss how one could try to numerically learn metrics on compact holonomy G2 manifolds using machine-learning and why these approximations would be useful in M-theory.

In person or on Zoom:

https://harvard.zoom.us/j/92220006185?pwd=V3mrb4cNSbgRXtNJtRJkTvWFVhmbI5.1
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