Title: Affine extractors over prime fields.
Speaker: Amir Yehudayoff, IAS
Abstract:
Affine extractors are maps over F^n that are balanced on every affine subspace of large enough dimension. A
random map is, with high probability, a good affine extractor. However so far we do not know how to build
explicit affine extractors that are as good as the random ones. We will discuss a construction of an explicit
affine extractor, in the spirit of a previous construction by Bourgain. This construction yields a slightly
better affine extractor, and a simpler proof.