Geometry Colloquium

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Date, time & place Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.)

2012/11/14

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Kotaro Kawai (Tohoku University)
Construction of coassociative submanifolds (JAPANESE)
[ Abstract ]
The notion of coassociative submanifolds is defined as the special class of the minimal submanifolds in G_2 manifolds. In this talk, we introduce the method to construct coassociative submanifolds by using the symmetry of the Lie group action. As an application, we give explicit examples in the 7-dimensional Euclidean space and in the anti-self-dual bundle over the 4-sphere.