Ian Gleason: Meromorphic vector bundles on the Fargues-Fontaine curve
Автор: Hausdorff Center for Mathematics
Загружено: 2023-06-19
Просмотров: 425
Описание: Recent progress in p-adic and perfect geometry has led experts to conjecture a precise categorical (or geometric) version of the local Langlands correspondence. There are mainly two approaches to state the conjecture, one using p-adic geometry and the stack of vector bundles on the Fargues-Fontaine curve and the other one using perfect geometry and the Kottwitz stack parametrizing families of isocrystals. One can ask how do the two conjectures compare. Motivated by this question we introduce and study a third object, the stack of meromorphic vector bundles on the Fargues-Fontaine curve. We provide evidence that this object should "mediate" between the two conjectures. This is joint work in progress with Alex Ivanov.
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