Speaker: Michael I. Weinstein, Columbia University Title: Dynamics of solitons in non-homogeneous Abstract: I will discuss the dynamics of soliton-like solutions of the nonlinear Schroedinger - Gross Pitaevskii equation. In particular, we present recent results (with Z. Gang) on large time energy distribution in multimoded systems and results (with B. Ilan) on solitons with frequencies near a spectral band edge associated with periodic potential. Finally, we discuss how such results can inform strategies for control of soliton-like states in optical and quantum systems.