Canonical blow-ups of Grassmann manifolds I，II
报告题目(Title)：Canonical blow-ups of Grassmann manifolds I，II
报告人(Speaker)：方汉隆 研究员（北京大学）
地点(Place)：后主楼1220
时间(Time)：2021-05-24， 2:00-4:00 pm
邀请人(Inviter)：汪志威
报告摘要
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.
主讲人简介
方汉隆，男，北京大学数学科学学院研究员。2012年本科毕业于清华大学，2018博士毕业于美国罗格斯大学新布朗斯维克分校，导师黄孝军教授。2018-2021威斯康辛大学博士后。在多复变与复几何做出系列重要工作，文章发表在GAFA，Adv. Math等国际著名杂志。
