Cohomology in algebra, geometry, physicsand statistics

On 3-nondegenerate CR manifolds in dimension 7

I will report on joint works with B. Kruglikov on CR hypersurfaces in C 4 with a degenerate Levi form. I will discuss the symmetry dimension bound 8 for all the 3-nondegenerate 7-dimensional CR real-analytic structures and present the classification of the locally homogeneous ones. The bound 8 is achieved on the homogeneous model, which is locally the only homogeneous 3-nondegenerate 7-dimensional CR manifold.
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We shall open the seminar room+ZOOM meeting at 13.15 for virtual coffee
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