Special Year Research Seminar

Given a topological dynamical system (X,T) a bounded sequence (an) and f∈C(X) we are interested in the asymptotic behavior of

1∑n≤N|an|∑n≤Nanf(Tnx)

This will be a survey talk about recent progress on pointwise convergence problems for multiple ergodic averages along polynomial orbits and their relations with the Furstenberg-Bergelson-Leibman conjecture.