Abstract: We will describe some recent new developments in Diophantine approximation on algebraic varieties, focusing on some familiar natural examples. The approach we describe utilizes harmonic analysis and ergodic theory on semisimple Lie groups, and provides the best possible solution to many Diophantine approximation problems which were not accessible by previous techniques.
Based on joint work with Alex Gorodnik and on joint work with Anish Ghosh and Alex Gorodnik.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006