学术报告

Canonical blow-ups of Grassmann manifolds

发布人:发布时间: 2021-04-23

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题目:Canonical blow-ups of Grassmann manifolds


报告人:方汉隆 University of WisconsinMadison


时间:202142710:00-12:00


地点:蒙民伟楼1105


摘要:We introduce certain canonical blow-ups \mathcal T_{s,p,n}, as well as their distinct submanifolds \mathcal M_{s,p,n}, of Grassmann manifolds G(p,n) by partitioning the Plücker coordinates with respect to a parameter s. Various geometric aspects of \mathcal T_{s,p,n} and \mathcal M_{s,p,n} are studied, for instance, the smoothness, the holomorphic symmetries, the (semi-)positivity of the anti-canonical bundles, the existence of Kähler-Einstein metrics, the functoriality, etc. In particular, we introduce the notion of homeward compactification, of which \mathcal T_{s,p,n} are examples, as a generalization of the wonderful compactification.


邀请人:陈学长 老师