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How can one recognize the associative Grassmannian?-Prof. Matthias Kreck(德国Bonn大学)

Title: How can one recognize the associative Grassmannian?
Speaker: Prof. Matthias Kreck(德国Bonn大学)
Abstract: The exceptional Lie group G_2 is the automorphism group of the octonians. It acts transitively on the associative Grassmannian with stabilizer SO(4). Thus the associative Grassmannian can be identified with the homogeneous space G_2/SO(4). In joint work with Diarmuid Crowley, Achim Krause and Dietmar Salamon we study the problem how one can decide whether a given manifold is diffeomorphic to G_2/SO(4). The proof is a combination of the most common classification methods of manifolds and so it serves as an introduction to these methods. I will keep it very elementary.

时间:2016年9月27日(周二)下午3:50 - 4:50

地点:首都师大北二区教学楼510教室

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