5 problems

Let $\mathbf{R}$ denote the Real global group law constructed from the Real globally oriented spectrum $\mathbf{MR}$. For each torus $\mathbb{T}^n$, let…

Let $G$ be a compact quasi-abelian Lie group equipped with an augmentation … Write $\rho$ for the relevant regular representation and $M\mathbb{R}_\eta$ for the associated Real equ…

Let $v\le w$, let … and set $z_i=y_{-\beta_i}$. Let $I_{vw_\circ}$ be a reduced word as above, and let $\ell(v)$ denote the length of $v$. The positivity conjecture. (1) If $t=0$,…

Let $\mathcal{F}_{Ab}$ be the universal Abel formal group law, and let its $2$-typization have coefficient ring presented as a quotient of the localized Brown–Peterson coefficient…

Greenlees's conjecture. There is a unique homomorphism of rings