报告主题: CAT(0) Geometry of Complex Curve Complements and Families
报 告 人: 朱可佳(加州大学河滨分校)
报告时间: 2025年 1月13日(星期一)下午14:00-16:00
报告地点: 4号楼4135,腾讯会议 6760870069 (线下线上同步)
邀 请 人: 陈麒羽、杜晓明、何遵武、潘会平、孙浩、钟友良
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数学学院
2025年1月12日
报告摘要:
Motivated by the question of whether braid groups are CAT(0), we investigate the CAT(0) behavior of fundamental groups of plane curve complements and certain universal families. If C is the branch locus of a generic projection of a smooth, complete intersection surface to P^2 , we show that the fundamental group of P^2\C is CAT(0). In the other direction, we prove that the fundamental group of the universal family associated with the singularities of type E6, E7, and E8 is not CAT(0). This is joint work with C. Bregman and A. Libgober.
报告人介绍:
朱可佳,伊利诺伊大学芝加哥分校博士,现任加州大学河滨分校客座助理教授(博后)。研究领域是几何群论与复几何。