Variants of the Szemeredi Theorem – 2

Selçuk Demir (DEU)

Place: B256

Date and Time: 15/11/2019, 13:15

Abstract: We sill start talking about geometric versions of the Szemeredi theorem.In particular, we plan to discuss the version of the Katznelson-Weiss theorem due to Bourgain. The Katznelson-Weiss theorem says that if A is a subset of the plane with positive upper density, then for every m large enough, there are points x and y of A such that the distance between x and y is equal to m. The necessary background from harmonic analysis will be recalled.