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Geometric Analysis Seminar

New examples of SU(2)^2-invariant G_2-instantons

Izar Alonso (Rutgers)

Location:  Hill-705
Date & time: Tuesday, 03 October 2023 at 2:50PM - 3:50PM

G_2-instantons are a special kind of connections on a Riemannian 7-manifold, analogues of anti-self-dual connections in 4 dimensions.

I will start this talk by giving an overview of why we are interested in them and some known examples. Then, I will explain how we construct G_2-instantons in SU(2)^2-invariant cohomogeneity one manifolds and give new examples of G_2-instantons on R^4xS^3. I will then discuss the bubbling behaviour of sequences of G_2-instantons found.

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