Ergodic Geometry, Number Theory and Margulis Legacy: the Next Generation

This conference will cover recent progress in the theory of dynamical systems and its geometric and number-theoretic applications. In recent years there have been spectacular advances in the area, highlighting various connections between dynamics, rigidity, Diophantine approxi- mation, combinatorics, and many other areas of mathematics. Many of recent developments are made possible by the previous ground-breaking work of Gregory Margulis, whose 75th birthday will be honored by the conference.