Skip to content (access key 's')
Logo of Technion
Logo of CS Department


Combinatorics Seminar: On Equivalence of Polynomial Conjectures in Additive Combinatorics
event speaker icon
Shachar Lovett (Weizmann Institute)
event date icon
Wednesday, 6.1.2010, 13:30
event location icon
Amado 719
We will discuss two important conjectures in additive combinatorics. The first one is the polynomial Freiman-Rusza conjecture, which relates to the structure of sets with small doubling. The second is the inverse Gowers conjecture for $U^3$, which relates to functions which locally look like quadratics. In both conjectures a weak form, with exponential decay of parameters is known, and a strong form with only a polynomial decay of parameters is conjectured.

We will show that the two conjectures are in fact equivalent. This was also discovered independently by Green and Tao
[Back to the index of events]