Date:	Mon, March 30, 2009
Time:	17:15
Place:	Research II Lecture Hall

Abstract: One of the most striking recent results in the metric geometry states that there exist Polish (=separable complete metric) spaces which have only one (up to isometry) isometic embedding into a Banach space. The first example due to R.Holms (1992) is the Urysohn universal space. Now we know the list of all such spaces (which are called linear rigid). We will discuss properties of these spaces, their universality and applications to the mass transportation problem and other areas.