Towards a geometric Jacquet-Langlands correspondence for unitary Shimura varieties
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Publication:616592
DOI10.1215/00127094-2010-061zbMath1205.11070arXivmath/0511146OpenAlexW3098518279MaRDI QIDQ616592
Publication date: 10 January 2011
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0511146
Related Items (8)
A geometric Jacquet-Langlands transfer for automorphic forms of higher weights ⋮ Nearby cycles of automorphic étale sheaves ⋮ Tate cycles on some unitary Shimura varieties mod \(p\) ⋮ Minimal weights of Hilbert modular forms in characteristic ⋮ On Goren–Oort stratification for quaternionic Shimura varieties ⋮ Nearby Cycles of Automorphic Étale Sheaves, II ⋮ On the Bruhat-Tits stratification of a quaternionic unitary Rapoport-Zink space ⋮ Tate cycles on some quaternionic Shimura varieties mod \(p\)
Cites Work
- All Siegel Hecke eigensystems (mod \(p\)) are cuspidal
- Hecke eigenvalues of Siegel modular forms (mod \(p\)) and of algebraic modular forms
- A geometric Jacquet-Langlands correspondence for \(\mathrm{U}(2)\) Shimura varieties
- Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné)
- Conditional base change for unitary groups
- Algebraic approximation of structures over complete local rings
- The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- Points on Some Shimura Varieties Over Finite Fields
- The first de Rham cohomology group and Dieudonné modules
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