Combinatorics Seminar

3-term arithmetic progressions in power series rings over finite fields.

Rob Fraser (University of British Columbia)

Monday, August 28th, 2017
2:00 PM - 3:00 PM
Hylan 1106A

We use a technique due to Keleti to provide an example of a set in F_3[[t]] of Hausdorff dimension 1 that does not contain any 3-term arithmetic progressions. This contrasts with a 2016 result of Ellenberg and Gijswijt, which states that every subset of (Z/3Z)^n with at least 2.756^n elements must contain a 3-term arithmetic progression.

Event contact: hazel dot mcknight at rochester dot edu