Notes on the $$\mathbb A_{{\mathrm {inf}}}$$-Cohomology of Integral p-Adic Hodge Theory

DOI10.1007/978-3-030-43844-9_1zbMath1440.14116arXiv1608.00922OpenAlexW3035585524MaRDI QIDQ5119707

Matthew Morrow

Publication date: 1 September 2020

Published in: Simons Symposia (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00922

zbMATH Keywords

de Rham-Witt complex\(p\)-adic Hodge theoryprismatic cohomologyperfectoid

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) (p)-adic cohomology, crystalline cohomology (14F30) Perfectoid spaces and mixed characteristic (14G45)

Related Items

Algebraic geometry in mixed characteristic

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral \(p\)-adic Hodge theory-announcement
• Les suites spectrales associées au complexe de De Rham-Witt
• \(p\)-adic étale cohomology
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• A generalization of formal schemes and rigid analytic varieties
• Integral \(p\)-adic Hodge theory
• Perfectoid spaces
• Topological Hochschild homology and integral \(p\)-adic Hodge theory
• Serre's tame inertia conjecture
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Solutions d'équations à coefficients dans un anneau hensélien
• Notes on Crystalline Cohomology. (MN-21)
• Crystalline conjecture via K-theory
• Integral crystalline cohomology over very ramified valuation rings
• Canonical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-deformations in arithmetic geometry
• DE RHAMWITT COHOMOLOGY FOR A PROPER AND SMOOTH MORPHISM
• The -cohomology in the semistable case
• On the Witt vector Frobenius