Hindmanʼs Conjecture over the Rationals

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Ryan Alweiss, Princeton University
Fine Hall 224

We settle Hindmanʼs conjecture over the rationals, proving that for every coloring of the set of positive rationals by a finite number of colors and for every integer n>1 there are n numbers x_1,..,x_n so that all of them, all their subset sums and all their subset products have the same color.