Abstract

The goal of this mini-course is to demonstrate mutually enhancing connections between ergodic theory and various combinatorial and diophantine problems. The topics include (but are not limited to) multiple recurrence and Ramsey theory; applications of topological algebra in Stone-Cech compactifications; generalizations of Weyl theorem on uniform distribution of polynomials and dynamical systems on nil-manifolds; patterns in primes.

Registration

There will be no conference fee and we do ot offer any accommodation, but we do ask people to register in advance. To register please write at frej@pwr.edu.pl.

Time and place

The minicourse will last from Saturday, May 28, till Wednesday, June 1. Each working day the lectures will start at 9.30am and end at 1.30pm. They will be held in an old villa belonging to the Institute of Mathematics of Polish Academy of Sciences (see a photo).
On Saturday, at 9.00am, there will be a special lecture in honor of professor Czeslaw Ryll-Nardzewski.