9 problems

Point-spectrum conjecture. One has $\alpha\in\sigma_p(\widetilde A)$ if and only if either there exists a nontrivial element $y_0$ such that

Smyth's conjecture. There exist Galois conjugates $\gamma_1,\dots,\gamma_n$ such that

Let $K=\mathbb{F}_q(t)$ be a rational function field and let $v$ be a finite monic prime. Write $W_v(K)$ for the vector space of $v$-adic multiple zeta values at integer tuples. Od…

Let $K=\mathbb{F}_q(t)$, and let $W(K)$ be the product over monic primes $v$ of the vector spaces $W_v(K)$ spanned over the relevant coefficient field by the $v$-adic multiple zeta…

M. Stein's conjecture. One has $\dim_{\mathbb{Q}}V_m=m$ for every positive integer $m$. Moreover, for every $\left(t_1,\ldots,t_{4m}\right)\in V_m$,

Let $\bold{Mark}$ and $\bold{LinRel}$ be the symmetric monoidal bicategories whose objects are finite sets, whose morphisms are open Markov processes and linear relations respectiv…

Let $f$ be an odd-degree polynomial of degree $D$, and let $\varphi_{D,0,\rho}$ denote the quantities used in the source for indices $D$, $0$, and $\rho$. Odd-degree peculiar linea…

Let a collection consist of mono- or bi-brackets, viewed as elements of the relevant bracket algebra over $\mathbb Q$ and $\mathbb C(q)$. Rationality conjecture for bracket relatio…

Let $k\geq 4$. Consider the linear relations among the generators of the weight-$k$, length-two component…