10-04【刘 杰】五教5305 吴文俊数学重点实验室代数学系列报告之190

发布者:万宏艳发布时间:2021-09-28浏览次数:387

题目:Positive subsheaves in tangent bundle


报告人:刘杰, 中国科学院晨兴数学研究所



时间:2021年10月4日(星期一) 9:30-11:00


地点:科大东区第五教学楼5305教室



摘要:Special subsheaves of tangent bundles of projective varieties often carry important geometric information on varieties. In this talk, I will focus on two related problems in the study of subsheaves of tangent bundles admitting certain algebraic positivity: (1) Fano manifolds with positive tangent bundles; (2) holomorphic foliations with positive tangent sheaves. In the talk, I will start with some motivations inspired by classical results. Then I will present the main problems that we are interested in and also the possible approaches to these problems. In particular, I will try to discuss various typical examples to illustrate what we may expect in general case.