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math.AG2025
Analytic de Rham stacks of Fargues-Fontaine curves
Johannes Anschütz, Guido Bosco, Arthur-César Le Bras +2
We define and initiate the study of analytic de Rham stacks of relative Fargues-Fontaine curves. To this end, we develop a theory of analytic de Rham stacks with sufficiently stron…
math.AG2025
Wild Betti sheaves
Peter Scholze
In this note, we consider the problem of constructing an enlargement of the category of Betti sheaves that supports an ``exponential local system'' on , and a Fourier eq…
math.AG2025
Geometrization of the local Langlands correspondence, motivically
Peter Scholze
Based on the formalism of rigid-analytic motives of Ayoub--Gallauer--Vezzani, we extend our previous work with Fargues from -adic sheaves to motivic sheaves. In particular, w…