报告题目： Introduction to h-principle for isometric embeddings in R^3报告人：邱国寰  （加拿大McGill大学）地点：管理科研楼时  间1月16日14:00-16:301月17日14:00-16:30教  室1418教室1518教室 Characterize those intrinsic metrics on a surface which can be realized as embeddings into three space is an important well-known question. 
The famous result of Nash (the paper in 1954)-Kuiper says that any short embedding in codimension one can be uniformly approximated by C^1 
isometric embeddings. On the other hand there is rigidity theorem for C^2 isometric embedding.Borisov extended the rigidity result to embeddings 
of class C^1,a with a>2/3 and announced the non-rigidity theorem to local C^1,a embeddings with a<1/7. And this exponent was extend by Conti, 
De Lellis, Inauen and Szekelyhidi to 1/5 so far. But the best holder exponent for this h-principle phenomenon is still open. In these seminars, 
we will introduce this problem and the Nash's technique for this problem.The main references are:1. Nash,J C^1 isometric imbeddings. Ann.Math (1954).2. Sergio Conti, Camillo De Lellis, and Laszlo Szekelyhidi Jr, H-Principle and Rigidity for C^1,a isometric embeddings.