Magyar Ákos: The Waring problem, and ergodic theorems on nilpotent groups

Abstract:

We discuss some results on maximal and singular averages
along polynomial sequences in discrete nilpotent groups, as well as
related pointwise ergodic theorems for non-commuting transformations.
We will emphasize the arithmetic nature of these problems, in
particular a version of the Weyl inequality, the Waring problem and an
extension of the classical circle method of exponential sums to the
nilpotent settings.

This is joint work with A. Ionescu, M.A. Mirek and T. Szarek

For Zoom access please contact Andras Biro (biro.andras[a]renyi.hu).