|Date: Friday, October 13, 2017
Location: 3866 East Hall (3:00 PM to 4:00 PM)
Title: Divergent trajectories in arithmetic homogeneous spaces of rational rank two
Abstract: In the theory of Diophantine approximations, singular points are ones for which Dirichlet's theorem can be infinitely improved. It is easy to see that all rational points are singular. In the special case of dimension one, the only singular points are the rational ones. In higher dimensions, points lying on a rational hyperplane are also obviously singular. However, in this case there are additional singular points. In the dynamical setting the singular points are related to divergent trajectories. In the talk I will define obvious divergent trajectories and explain the relation to rational points. In addition, I will present the more general setting involving Q-algebraic groups. Lastly I will discuss results concerning classification of divergent trajectories in Q-algebraic groups.
Speaker: Nattalie Tamam
Institution: Tel Aviv University
Event Organizer: Spatzier