Abstract: Starting with some differential equations considered by H. Poincare we will obtain dynamical systems which are suspensions over cocycle extensions of some minimal systems. I will overview the theory of cocycles over minimal rotations (focusing on paralles and differences with measurable dynamics) and describe the current stage of knowledge about so called Besicovitch problem (the problem of existence of discrete orbits and potentially other minimal subsets for cylindrical transformations).

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