Prof. Vitali Milman (Tel Aviv University)
We study the asymptotic behavior of finite- (but very high-) dimensional normed spaces and convex bodies when dimension tends to infinity. Contrary to common intuition, which anticipates enormous diversity and chaotic behavior, we observe a uniform behavior for the whole family of finite- (but high-)dimensional spaces. We will discuss different and unexpected phenomena accompanying high dimension and explain the reasons why intuition should be changed to predict correctly what we actually observed. The talk will be understandable to any graduate student in Mathematics.
Go Back to Junior Coll. Web page
URL http://www.math.umn.edu/jrcoll/ The University of Minnesota is an equal opportunity educator and employer. © 2004, The Regents of the University of Minnesota |
|