课程题目: Seminar on Differential Geometry 微分几何研读讨论班
主讲人: 叶如钢教授 中国科大长江讲座教授
美国加州大学圣巴巴拉分校(University of California, Santa Barbara, USA)
面向对象:研究生与高年级本科生 (预修课程 微分几何初步)
授课时间: 6月18日-7月20日 每周二, 周四 晚上 19:00-21:00 , 共10次
地点: 管理科研楼1518室
课程重点、难点:
Focus point: Some important and new results in differential geometry
Hard points: Many concepts and some difficult techniques are involved.
课程安排:
参加课程者请提前阅读下面参考文献,然后选择其中部分内容准备作报告,通过讨论,对文章和有关课题达到深入理解。叶如钢教授在报告过程中给予指导和解答,并做必要的背景介绍。
阅读文献
1. Embedded minimal tori in S^3 and the Lawson conjecture, S. Brendle, arXiv:1203.6597 (Papers by Lawson and Andrew quoted in this paper are also suggested for reading, reporting and discussion.)
2. Rotational symmetry of self-similar solutions to the Ricci flow, S. Brendle, arXiv:1202.1264
3. A. Kovalev, Twisted connected sums and special Riemannian holonomy, J. Reine Angew. Math. 565 (2003), 125�160. MR2024648 (2004m:53088)
4. Feng Xu and Rugang Ye, Existence, convergence and limit map of the Laplacian Flow, arXiv:0912.0074
5. G. Perelman, The entropy formula for the Ricci flow and its geometric applications. arXiv: math.DG/0211159.
主办单位:中科大数学科学学院
欢迎广大师生参加!