9 problems

Let $X$ be a smooth $p$-adic analytic Artin stack, and let $L(X)$ denote its associated light condensed anima. Clausen's conjecture. Étale-locally, $L(X)$ is a light profinite anim…

Light profiniteness conjecture. Étale locally, the associated light condensed anima is a light profinite anima.

Let $F$ be a $p$-adic field, and let $A$ be an algebraic group over $F$. For every finite field extension $K$ of the completion of the maximal unramified extension…

Discreteness conjecture. 1. For $n>0$ that is invertible in $A$, the condensed abelian group

Condensed and bornological geometry model conjecture. The models of geometry in condensed mathematics, such as analytic stacks, and the models of geometry based on bornological rin…

Let $n\geq 2$, let $X$ be a finite extension of a local nonarchimedean field, let $G(X)$ be a reductive group, and let $\mathrm{Gal}_{X,n}$ and $\mathrm{Weil}_{X,n}$ denote the cor…

Let $X$ be a finite extension of a local nonarchimedean field, let $G(X)$ be a $z$-adic reductive group, and let $\mathrm{Gal}_{X,2}$ denote the two-fold covering of the Galois gro…

The condensed Whitehead conjecture. Suppose that $A$ is an abelian group, $\mathbb{B}$ is a complete Boolean algebra, and

Author's vanishing conjecture.