叶如钢教授系列暑期课程

时间:2012-06-14

 

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引导和解答,并做必要的背景先容。
 
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:中科大澳门新葡新京

欢迎广大师生参加!

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