Title: Advances in Metric Embedding Theory

             Yair Bartal
	     Computer Science Department
	     Hebrew University

ABSTRACT: We will describe some basic results in the theory of finite
metric embedding focusing on some recent developments. In particular,
we will review the proof of the theorem which states that every finite
metric space embeds in Euclidean space with constant average
distortion.  In this talk I will give the complete proof of the
contant average distortion theorem. As time allows I will survey other
topics in metric embedding such as embedding into tree metrics,
locality preserving embeddings, etc.