Associative submanifolds in G2 manifolds with symmetries

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• Federico Trinca (UCL)
• Wednesday 21 February 2024, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

Similarly to Calabi-Yau 3-folds in dimension 6, G2 manifolds are certain 7-dimensional manifolds that appear in the Berger list of possible Riemannian holonomy groups; they are Ricci-flat and admit special 3-dimensional homologically volume minimizing submanifolds, called associative submanifolds. In this talk, I will explain how to construct and understand the properties of associatives in the cohomogeneity one G2 manifolds recently constructed by Foscolo-Haskins-Nordström. This is joint work with B. Aslan.

This talk is part of the Differential Geometry and Topology Seminar series.

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