2016/06/03 by Johannes Anschütz, Anschütz, Johannes
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1606.01029
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 BunFF 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 BunFF over classifying stacks for locally profinite groups.