Will give a Graduate Student Seminar entitled:
From small doubling to small “n-pling”
Abstract: For a given finite subset A of an abelian group, the Plünnecke–Ruzsa inequality bounds the size of nA-mA in terms of |A+A|/|A|. I will state several theorems where the inequality played an important role, and give Petridis’ simplified version of the original proofs which keeps the use of the Plünnecke graph, but eliminates the tensor product trick.
Date: 10-17-2025
Time: 10:00 am
Location: 258 Hurley Bldg