Invited Speaker David Boyd Professor University of British Columbia Vancouver, B.C.

 Email: boyd@math.ubc.ca Homepage: http://www.math.ubc.ca/people/faculty/boyd/boyd.html Paper: The Beta Expansion for Salem Numbers Talk: Are Salem numbers beta-numbers? (QuickTime movie - 1.5M) Abstract: The beta transformation is the mapping on the unit interval defined by multiplication by $\beta$ mod 1. $\beta > 1$ is a beta-number if 1 is an eventually periodic point of this mapping. It is known that all Pisot numbers of any degree and all Salem numbers of degree 4 are beta-numbers. We describe computational and heuristic arguments which suggest that all Salem numbers of degree 6 are beta-numbers but that this is not true for higher degrees.