报告主题： 等周问题
报告人：周家足 教授 （西南大学）
报告时间：2019年4月9日（周二）9：30
报告地点：校本部G507
邀请人：席东盟
报告摘要： The classical isoperimetric problem is to determine a plane figure of the largest possible area with boundary of a given length and it was known in Ancient Greece. However, the first mathematically rigorous proof was obtained only in the 19th century by Weierstrass based on works of Bernoulli, Euler,Lagrange and others. The isoperimetric problem has been extended in multiple ways, for example, to domains on surfaces and in higher dimensional spaces but it is still too difficult to prove. Another extension is known as the reverse isoperimetric problem. Recent remarkable work of A. Li, D. Xi and G. Zhang (Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds, Adv. Math. 304 (2017), 494 - 538) hints that the isoperimetric problem on submanifold, especially on Grassmannian manifold, could be formulated.
We will address on the isoperimetric problem from the view point of integral and convex geometry. This includes joint works with N. Fang, S. Feng, X. Li, H. Wang and W. Xu.
欢迎教师、学生参加！