2:00 pm, Wednesday, 6-March-2024


The following is a classical problem in geometric Ramsey theory: What are the n-point configurations that appear in every large enough subset of Z^d. In this talk we will discuss the dynamical approach to this general problem. We will also present the main ideas behind our recent result that for any set E of positive density in Z^d, the set of volumes of all simplices generated by the points in E contains an infinite arithmetic progression. The talk is based on a joint work with Michael Bjorklund (Chalmers).


Alexander Fish

Research area

Number Theory


University of Sydney


Wednesday 6 March 2024, 2.00 pm


Room 4082 (Anita B. Lawrence Center)