3 problems

Let $S^1_{\mathbb Q}$ be the universal solenoid and let $\mathbb C P^1_{\mathbb Q}$ be the adelic projective line. Adelic Fargues–Fontaine object conjecture. There exists a suitabl…

Let $K$ be a finite extension of $mathbb{Q}p$ or $mathbb{F}q((z))$ with $ellneq p$ and $p2$, let $G/K$ be reductive, and let $W{K,2}$ denote the indicated two-fold covering grou…

Fargues–Scholze's categorical Langlands conjecture. There is a canonical isomorphism between these two $\infty$-categories.