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
6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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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Proves Virtual Surjection Conjecture and n-(n+1)-(n+2) Conjecture for profinite groups via a numerical criterion for FP_n of modules.
Under CH, the injective dimension of c0 is at least 3 via a new notion of almost disjoint families on the Cech-Stone remainder of N.
A condensed perspective yields self-contained proofs of pro-étale and étale exodromy theorems, removing qcqs hypotheses and extending to general ∞-category coefficients and κ-condensed statements.
Anabelomorphic p-adic fields induce isomorphic Langlands parameter stacks, yielding a conjecture relating Fargues-Scholze to anabelomorphy that holds for split tori.
Explores locality of mod p GL_2 representations over unramified quadratic extensions of Q_p by constructing a candidate representation of a subgroup via perfectoid geometry.
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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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.
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To be or not to be local
Explores locality of mod p GL_2 representations over unramified quadratic extensions of Q_p by constructing a candidate representation of a subgroup via perfectoid geometry.