\(p\)-adic Hodge-theoretic properties of étale cohomology with \(\mod{p}\) coefficients, and the cohomology of Shimura varieties
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Publication:2353497
DOI10.2140/ant.2015.9.1035zbMath1321.11050arXiv1203.4963OpenAlexW1511199770MaRDI QIDQ2353497
Publication date: 14 July 2015
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.4963
Étale and other Grothendieck topologies and (co)homologies (14F20) Congruences for modular and (p)-adic modular forms (11F33) Arithmetic aspects of modular and Shimura varieties (11G18)
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General Serre weight conjectures ⋮ Integral models of certain PEL Shimura varieties with \(\Gamma_1(p)\)-type level structure ⋮ Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings ⋮ Standard conjecture of Künneth type with torsion coefficients ⋮ On the generic part of the cohomology of compact unitary Shimura varieties ⋮ IHARA LEMMA AND LEVEL RAISING IN HIGHER DIMENSION ⋮ Non-admissible irreducible representations of 𝑝-adic 𝐺𝐿_{𝑛} in characteristic 𝑝 ⋮ Vanishing theorems for the mod p cohomology of some simple Shimura varieties ⋮ SUR LA TORSION DANS LA COHOMOLOGIE DES VARIÉTÉS DE SHIMURA DE KOTTWITZ-HARRIS-TAYLOR ⋮ Potentially crystalline deformation rings and Serre weight conjectures: shapes and shadows ⋮ THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS
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