7 problems

Let $n$ be an integer with $n\geq 3$, and let $R$ and $S$ be isomorphic filtered $\lambda$-ring structures on … Let $\sigma:R\xrightarrow{\cong}S$ be an isomorphism. A filtered…

Let $n$ be an integer with $n\geq 3$, and let … be a family of nonzero integers. A filtered $\lambda$-ring structure on $\mathbf{Z}[x]/(x^n)$ has prescribed Adams linear coefficien…

Cyclotomic Adams-operation conjecture. The two operations should agree in this case as well:

Equality conjecture for the two Adams operations. The operations should agree:

Equality conjecture for Adams operations. The two operations should agree:

The extension conjecture. The preceding theorem defining $\Psi^{k}$ should remain valid without the hypothesis that $k!$ is invertible in $R$. Under the alternative hypotheses that…

Period conjecture. The minimum period of $\psi_\Lambda^n$ is $e$ or $2e$, and the minimum period of $\psi_S^n$ is $e$ or $2e$.