8 problems

Factorization conjecture. The composite $\iota_2\circ\iota_1$ factors through $\iota_3$.

Generalized injectivity conjecture. Let $\pi\in\mathrm{Irr}_{\rho}$ and let $\mathfrak n\in\mathrm{Mult}_{\rho}$ be minimal to $\pi$. Set

For $k\geq1$, define … and let $\mathcal{S}_k$ be the corresponding computable subsets, with … … Second- and third-derivative completeness conjecture. One has … The paper proves fi…

Let $\sigma, \sigma' in \mathrm{Irr}^{square}$ and let $pi in \mathrm{Irr}$. A triple $(\sigma,\sigma',pi)$ is pre-RdLi-commutative when it satisfies the pre-RdLi-commutativity conditi…

Let $\x03be$ be a probability measure compactly supported in $\x1d53d$, let $P_n=\x220f_{i=1}^n(x-\x03be_i)$ have roots independently sampled according to $\x03be$, and let…

Derivative conjecture. The representation $\rho_1(\tau)$ is $(rk,1)$. If $F$ is non-archimedean, then for every $c>1$ the highest derivative of $\rho_c(\tau)$ is

Let $K$ be a knot, let $J$ be a derivative associated to an $(n+1)$-solution for $K$, where $n$ is a non-negative integer or half-integer, and let $\Delta_K(t)$ denote the Alexander…

Let $K$ be a knot with a slice disk $\Delta$, and let $J$ be a derivative of $K$ associated to $\Delta$. Kauffman's conjecture. If $K$ is a slice knot via $\Delta$, then $J$ is a slic…