Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory

Abstract: Abstract: We will discuss multilinear variants of Weyl's inequality for the exponential sums arising in pointwise convergence problems related to the Furstenberg-Bergelson-Leibman conjecture. We will also illustrate how to use the multilinear Weyl inequality to derive quantitative bounds (in the spirit of Peluse and Prendiville) in Szemeredi's theorems for polynomial progressions in topological fields.