Norm Convergence of Nonconventional Ergodic Averages
Miguel Walsh

Consider a group of measure preserving transformations acting on a
probability space. The limiting behavior of the nonconventional
ergodic averages associated with this action has been the subject of
much attention since the work of Furstenberg on Szemeredi’s theorem.
We will discuss this problem, and how to establish the convergence of
these averages whenever the group is nilpotent.