On a sumset conjecture of Erdos

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Speaker: 
Isaac Goldbring
Institution: 
UCI
Time: 
Tue, 10/03/2017 - 2:00pm - 3:00pm
Location: 
RH 340P

Erdos conjectured that a set of natural numbers of positive lower density contains the sum of two infinite sets. In this talk I will describe progress on the conjecture.  In particular, I will discuss the truth of the conjecture in the “high density” case and how this implies a “1-shift” version of the conjecture in general.  These aforementioned results use nonstandard analysis.  Time permitting,  I will also discuss the conjecture in model-theoretically tame contexts.