Mathematics and Machine Learning Seminar

Machine construction and exploration of twisted connected sum G2 manifolds

Elli Heyes, Postdoctoral Research Fellow, Department of Physics, Imperial College London,

We construct a new dataset of 7-dimensional twisted connected sum G2 manifolds using the tops construction and investigate their topology. In addition, we demonstrate that machine-learning methods can identify matching pairs beyond those satisfying the standard trivial gluing conditions, enabling the discovery of new G2 geometries.

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For more information, please contact Caltech Mathematics Group by phone at 6263954335 or by email at [email protected].

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