The Weil-Moore anima refines the Weil group into a space with higher homotopy groups to improve its cohomological behavior for number fields.
Lectures on Condensed Mathematics
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abstract
This is an updated version of the lectures notes for a course on condensed mathematics taught in the summer term 2019 at the University of Bonn. The material presented is joint work with Dustin Clausen. This is intended as a stable citable version of the original lectures, with mostly cosmetic changes to the original document, together with some small corrections.
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2026 4roles
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Proves Virtual Surjection Conjecture and n-(n+1)-(n+2) Conjecture for profinite groups via a numerical criterion for FP_n of modules.
Anabelomorphic p-adic fields induce isomorphic Langlands parameter stacks, yielding a conjecture relating Fargues-Scholze to anabelomorphy that holds for split tori.
citing papers explorer
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Weil-Moore anima
The Weil-Moore anima refines the Weil group into a space with higher homotopy groups to improve its cohomological behavior for number fields.
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Virtual Surjection and the $n$-$(n+1)$-$(n+2)$ Theorem for Profinite Groups
Proves Virtual Surjection Conjecture and n-(n+1)-(n+2) Conjecture for profinite groups via a numerical criterion for FP_n of modules.
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The Categorical Local Langlands Correspondence and Anabelomorphy
Anabelomorphic p-adic fields induce isomorphic Langlands parameter stacks, yielding a conjecture relating Fargues-Scholze to anabelomorphy that holds for split tori.
- A condensed proof of the pro-\'etale and \'etale exodromy theorems