School Seminars and Colloquia

The subject of Asymptotic Geometric Analysis


by Professor Vitali Milman

Institution: Department of Mathematics, University of Tel Aviv, Israel
Date: Wed 22nd March 2006
Time: 11:00 AM
Location: Russell Love Theatre, Richard Berry Building, University of Melbourne

Abstract: 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.

For More Information: Ole Warnaar tel. 8344 5214 or Paul Pearce tel. 8344 4470

Colloquium Website