Word Maps and Measure Preservation
Time and place
1 PM on Thursday, April 23rd, 2015; NAC 6/133
Doron Puder (IAS Princeton)
Abstract
In recent years there has been much interest in word maps on groups, with various motivations and applications. We shall survey several results and open problems in this theory, and focus on questions regarding the distribution, or measure, induced by formal words on finite and compact groups.
As a concrete example, consider the following question: Pick two random elements g and h from some finite group G. What is the distribution in G of some fixed word in g and h, say the word ghgh^(-2)? Is the support all of G for every G? Is the distribution uniform for every such G?
