3 problems

Regular-sequence conjecture. The elements $e^0,e^1_{m,n,k},\ldots,e^{mn}_{m,n,k}$ form a regular sequence in $K[(\Delta_m)^{\times n}]$ of maximal length.

Let $\beta\mathbb F_2$ be the Stone–Čech compactification of the free group $\mathbb F_2$, and let $M(\beta\mathbb F_2)$ be the Banach algebra of complex, regular Borel measures on…

Let $G$ be a semigroup, and let $\mathrm{AM}(G)$ denote its amenability constant. Allowable amenability constants conjecture. There are no semigroups $G$ for which … This conjectur…