5 papers
Torsion Vanishing for Some Shimura Varieties
Linus Hamann, Si Ying Lee
We generalize the torsion vanishing results of Caraiani-Scholze and Koshikawa. Our results apply to the cohomology of general Shimura varieties of PEL type or…
Geometric Eisenstein Series, Intertwining Operators, and Shin's Averaging Formula
Linus Hamann
In the geometric Langlands program over function fields, Braverman-Gaitsgory and Laumon constructed geometric Eisenstein functors which geometrize the classical construction of Eis…
A Jacobian Criterion for Artin -stacks
Linus Hamann
We prove a generalization of the Jacobian criterion of Fargues-Scholze for spaces of sections of a smooth quasi-projective variety over the Fargues-Fontaine curve. Namely, we show…
Dualizing complexes on the moduli of parabolic bundles
Linus Hamann, Naoki Imai
For a non-archimedean local field and a connected reductive group over equipped with a parabolic subgroup , we show that the dualizing complex on , t…
Compatibility of the Fargues-Scholze and Gan-Takeda Local Langlands
Linus Hamann
Given a prime , a finite extension , a connected -adic reductive group , and a smooth irreducible representation of , Fargues-Scholze recent…