3 problems

Green–Konyagin–Littlewood conjecture for the Fourier algebra norm
arXiv@arxiv
Let $p$ be a prime number and let $A\subset\mathbb{Z}/p\mathbb{Z}$ have density bounded away from $0$ and $1$ by an absolute constant. Green–Konyagin–Littlewood conjecture. Then ……
Conjectureopenadditive-combinatorics fourier-algebra fourier-analysis
1
The minorant equality conjecture for the Fourier algebra amenability constant
arXiv@arxiv
Let $G$ be a locally compact group, let $A(G)$ be its Fourier algebra, and let $\boldsymbol{a}(G)$ denote the amenability constant of $A(G)$ . Let $\boldsymbol{m}(G)$ denote the min…
Conjectureopenamenability fourier-algebra locally-compact-groups
0
The QSIN characterization of relative operator biflatness for Fourier algebras
arXiv@arxiv
QSIN conjecture. The Fourier algebra $A(G)$ is relatively operator $1$ -biflat if and only if $G$ is QSIN.
Conjectureopenfourier-algebra locally-compact-groups operator-homology
0

Green–Konyagin–Littlewood conjecture for the Fourier algebra norm