5 problems

A bipermutative category has additive and multiplicative symmetric permutative structures, with the multiplicative structure distributing over the additive one. A symmetric bimonoi…

Weak geometric version of the Curtis and Eccles conjectures. (i) The image of the first homomorphism is finite. (ii) For a path connected space $X$, the image of the second homomor…

Odd-primary characteristic conjecture. $S/\!/p^r,\alpha_1$ is a characteristic for $H\mathbb{Z}/p^r$.

An $E_{\infty}$ ring $G$-category is a $G$-category with an action by an $E_{\infty}$ operad pair $(\mathcal{P}_G,\mathcal{R}_G)$ whose multiplicative action extends from…

Let $\mathcal{A}rc$ be the arc operad, and let ${}^{\rm Fat}{\mathcal S}t{\mathcal{GT}ree}$ denote the stabilized fat graph operad. A suitable stabilization conjecture for the arc…