Hi Dan,

I thought of title and abstract like that:

Title: A sufficient condition for Hilbertianity

Abstract: Hilbert's Irreducibility Theorem states that for every 
irreducible polynomial f(x,y) over the rational numbers there exist 
infinitely many specializations of x to a rational number x* such that 
f(x*,y) remains irreducible. Hilbertian fields are fields over which the 
Hilbert's Irreducibility Theorem holds. In this talk we settle a 
question of P. D`ebes and D. Haran and show that for a field to be 
Hilbertian it is sufficient to consider only polynomials which are 
absolutely irreducible, that is to say, irreducible over the algebraic 
closure of the field.


Bests,
Lior