### Towards quantitative equidistribution theorems in harmonic analysis

Ergodic Theory and Dynamical Systems Seminar

16th May 2019, 2:00 pm – 3:00 pm

Howard House, 4th Floor Seminar Room

In this talk we will survey pointwise ergodic theorems from the point of view of Euclidean and arithmetic harmonic analysis. We will then describe how a natural conjecture about lacunary maximal functions and its counterexamples lead to (open) quantitative equidistribution questions in ergodic theory.

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