搜索:
 
 当前位置:>首页 -> 学术报告
6-23研究生教育创新计划GAP研讨班系列讲座之一百一十【Ljudmila Kamenova】

题目: Hyperbolicity in hyperkaehler geometry

报告人:Ljudmila Kamenova , Stony Brook University

时间:6月23日 (周五)16:00-17:30

地点: 管理科研楼 1208

摘要: The Kobayashi pseudometric on a complex manifold M is the maximal pseudometric such that any holomorphic map from the Poincare disk to M is distance-decreasing. Kobayashi conjectured that this pseudometric vanishes on Calabi-Yau manifolds, and in particular,Calabi-Yau manifolds are Kobayashi non-hyperbolic. Using ergodicity of complex structures, together with S. Lu and M. Verbitsky we prove this conjecture for all K3 surfaces and for most classes of hyperkaehler manifolds. In the talk I will also give the algebraic version of hyperbolicity. Together with M. Verbitsky we prove that projective hyperkaehler manifolds with Picard rank at least two are algebraically non-hyperbolic.

欢迎广大师生参加!

  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会