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Étale cohomology of the moduli stack of rank 2 vector bundles on the Fargues-Fontaine curve
January 23 at 14:00 – 15:00 CET
Seminar: Non-archimedean geometry
Ruth Wild (Universität Bonn)
Abstract: Motivated by classical calculations, we consider the problem of calculating the etale cohomology of the moduli stack Bun<sub>2</sub> of rank 2 vector bundles on the Fargues-Fontaine curve, as introduced by Fargues and Scholze in their geometrization of the Local Langlands correspondence. We achive this by analyzing a stratafication of this stack and the simple cohomological behavior of the different strata. Along the way, we prove the description of the dualizing sheaf on Bun<sub>2</sub>.