"On additive energy and doubling"

Paul Koester
Indiana University

Monday, April 14, 2008
4:00 pm, 112 Patterson Office Tower

Abstract:

Additive energy and additive doubling are two notions used to measure the amount of additive structure in a set. We survey several "Freiman-type theorems", as well as the Polynomial Freiman-Ruzsa Conjecture, which all attempt to deduce information about the additive structure of sets with small additive doubling. If time permits we will also discuss some recent work relating the additive doubling of a set to the additive energy of a closely related set.