-bundles on the absolute Fargues–Fontaine curve
Tom 207 / 2023
Streszczenie
We prove that the category of “vector bundles on the absolute Fargues–Fontaine curve” (more precisely the category of sections over some discrete algebraically closed field of the v-stack {\rm Bun}_{\rm FF} of vector bundles on the Fargues–Fontaine curve) is canonically equivalent to the category of isocrystals. We deduce a similar result for “G-bundles on the absolute Fargues–Fontaine curve” for some reductive group G, as well as for sections of {\rm Bun}_{\rm FF} over classifying stacks for locally profinite groups.