3 papers
math.NT2026
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…
math.NT2025
Semisimplicity of étale cohomology of certain Shimura varieties
Si Ying Lee
Building on work of Fayad and NekováÅ, we show that a certain part of the etale cohomology of some abelian-type Shimura varieties is semisimple, assuming the associated automorph…
math.NT2025
Constructing vector-valued automorphic forms on unitary groups
Thomas L. Browning, Pavel Äoupek, Ellen Eischen +4
We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy emp…