几何与分析联合讨论班

报告题目：CLASSIFICATION OF CONSTANTLY CURVED HOLOMORPHIC 2-SPHERES OF DEGREE 6 IN THE COMPLEX GRASSMANNIAN G(2, 5)

报告人：徐言（南开大学）

摘要：Up to now the only known example in the literature of constantly curved holomorphic 2-sphere of degree 6 in the complex G(2, 5) has been the first associated curve of the Veronese curve of degree 4. By exploring the rich interplay between the Riemann sphere and projectively equivalent Fano 3-folds of index 2 and degree 5, we prove, up to the ambient unitary equivalence, that the moduli space of generic (to be precisely defined) such 2-spheres is semi-algebraic of dimension 2. All these 2-spheres are verified to have non-parallel second fundamental form except for the above known example. This is a joint work with Professor Q.S. Chi and Z.X. Xie.

报告人简介：徐言，南开大学数学科学学院讲师，从事子流形几何方面的相关研究工作，在复Grassmannian 流形、超二次曲面等对称空间中的常曲率极小球面的构造和分类问题上做过深入研究，相关工作分别发表在Adv. Math., Differ. Geom. Appl. 等重要SCI 学术期刊上。

报告时间：2023年3月14日（周二）上午9:00-10:00

线上报告地点：腾讯会议：341-6463-3205  会议密码: 无

组织人: 毕宇晨（中国科学院），周杰（首都师范大学），朱锦天（北京大学）