Nov. 30, 3:30pm, Wean 8220

Sarah Peluse, Stanford

Three-term polynomial progressions in subsets of finite fields

Sarah Peluse, Stanford

Three-term polynomial progressions in subsets of finite fields

Abstract:

Szemerédi's theorem on arithmetic progressions states that any subset of the integers of positive density contains arbitrarily long arithmetic progressions *x*,*x*+*y*,...,*x*+*my* with *y* nonzero. Bergelson and Leibman proved a generalization of Szemerédi's theorem for polynomial progressions *x*,*x*+*P _{1}*(

Before the talk, at 3:10pm, there will be tea and cookies in Wean 6220.