The Fargues–Fontaine curve \$X_{FF}\$ is a \$p\$-adic analogy to the projective line \$\mathbb P^1\$, constructed by Fargues-Fontaine in a way that \$p\$-adic Hodge theoretic objects can be expressed via vector bundles with additional structure at a distinguished point \$x_\infty\$. In analogy with the Beauville-Laszlo gluing description of Hecke modifications via the affine Grassmannian, modifications of \$G\$-bundles at \$x_\infty\$ are described by the \$B^+_{dR}\$-affine Grassmannian (Fargues-Scholze). By Fargues-Fontaine and Anschütz, vector bundles on \$X_{FF}\$ are classified and formulated as an equivalence with isocrystals. More recent work by Birkbeck et al. and Hong refines this by studying extensions, subbundles, and quotient bundles using the Harder-Narasimhan polygons. In the end, we will briefly discuss the relative versions of the Fargues-Fontaine curve over a perfectoid base following Kedlaya-Liu and Fargues-Scholze.