Crystalline representations and f-crystals

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WebJun 28, 2024 · Prismatic. -crystals and crystalline Galois representations. Let be a complete discretely valued field of mixed characteristic with perfect residue field. We prove that the … WebCrystalline representations and F-crystals Mark Kisin Department of Mathematics University of Chicago 5734 S. University Avenue Chicago, IL 60637 USA …

Topological representations of crystalline compounds for the

WebCrystalline representations and F -crystals M. Kisin Mathematics 2006 Following ideas of Berger and Breuil, we give a new classification of crystalline representations. The objects involved may be viewed as local, characteristic 0 analogues of the “shtukas” introduced… Expand 213 Modularity of 2-adic Barsotti-Tate representations M. Kisin WebOct 11, 2024 · A crystalline structure is any structure of ions, molecules, or atoms that are held together in an ordered, three-dimensional arrangement. Crystalline structure is one of two types of structural ... diamond shaped glasses

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WebFeb 5, 2024 · For complex datasets, such as those of crystalline compounds, a vital issue is how to construct low-dimensional representations for input crystal structures with … WebHere, an F-Barsotti-Tate group is a Bartotti–Tate group Hover OK with the property that the p-adic Tate module Vp(H) = Qp⊗Zp Tp(H) is an F-crystalline representation. We note that when F = Qp, Theorem 1.0.3 is proved (by diﬀerent methods) in [CL14]. Besides providing a natural generalization of Kisin’s work and its variants as diamond shaped garden hoe

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Topological Hochschild homology and integral $p$ -adic Hodge

Web[29] A prismatic approach to (φ,G^)-modules and F-crystals(with Heng Du), preprint, (arXiv) [28] Reductions of certain 3-dimensional crystalline representations, preprint, (arXiv) [27] Comparison of prismatic cohomology and derived de Rham cohomology(with Shizhang Li), preprint, (arXiv) Web“Crystalline representations and F-crystals”. In: Algebraic geometry and number theory. Springer, 2006, pp. 459–496. ... Intersection cohomology methods in representation theory, ICM 1990 report. F. SHAHIDI, A proof of Langlands’ conjecture on Plancherel measures; complementary series for p-adic groups, Ann. Math. (2), 132 (1990), 273 ... diamond shaped glass paperweightsWebCrystalline representations and F -crystals Mark Kisin Chapter 3118 Accesses 72 Citations Part of the Progress in Mathematics book series (PM,volume 253) Summary … diamond shaped glass beads

"WebMar 7, 2024 · We introduce the notion of completed $F$-crystals on the absolute prismatic site of a smooth $p$-adic formal scheme. We define a functor from the category of … " - Crystalline representations and f-crystals

Crystalline representations and f-crystals

PHYSICAL REVIEW LETTERS 120, 145301 (2024)

WebM. Kisin, “Crystalline representations and $F$-crystals”, in Algebraic geometry and number theory, Progress in Mathematics 253, Birkhäuser Boston, Boston, MA (2006), 459–496. [85] D. Knutson, $\lambda$ -Rings and the Representation Theory of the Symmetric Group , Lecture Notes in Mathematics 308, Springer, Berlin (1973). WebKisin, Crystalline representations and F-crystals. Scholze-Weinstein, Moduli of p-divisiblegroups, Camb. J. Math. 2013.) – The crystalline Dieudonné theory (or Zink’s theory of Dieudonné windows/displays) enables us to interpret deformation theory of p-divisible groups in terms of geomet-

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WebJul 26, 2024 · We give a new construction of -modules using the theory of prisms developed by Bhatt and Scholze. As an application, we give a new proof about the equivalence … WebThe associated crystalline representation is denoted by V k;a p and corresponds to the following representation of GL 2(Q p) (that should be studied in M.-F. Vignéras lectures): …

WebApr 24, 2024 · As a consequence, we prove that, under a mild cyclotomic-freeness assumption, all crystalline representations of an unramified extension of Q p, with Hodge–Tate weights in [ 0, p], are potentially diagonalizable. MSC classification Primary: 11F80: Galois representations Secondary: 11F33: Congruences for modular and $p$ … WebPrismatic F-crystal and lattice in crystalline representation Abstract: In this talk, I will explain a theorem of Bhatt-Scholze: the equivalence between prismatic $F$-crystal and …

WebSemantic Scholar extracted view of "F-crystals, Griffiths transversality, and the Hodge decomposition" by A. Ogus. Skip to search form Skip to main ... in which he generalized Fontaine–Laffaille theory of crystalline $\mathbb Z_p$-representations of the … Expand. Save. Alert. Log ordinarity and log plurigenera of a proper SNCL scheme over ... Web2024 Fall - Prismatic F-crystals and crystalline Galois representations Following up on our previous work on [1] and [4] in the winter, we will study the recent paper [5] of Bhatt and Scholze comparing prismatic F F -crystals to crystalline Galois representations.

WebJan 16, 2024 · We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of \mathbf {C}_ {p}. It takes values in a mixed-characteristic analogue of Dieudonné modules, which was previously defined by Fargues as a version of Breuil–Kisin modules. Notably, this cohomology theory specializes to all other known p …

WebM. K isin, Crystalline representations and F-crystals, Algebraic geometry and number theory, 459–496, Progr. Math., 253, Birkhäuser Boston, Boston, MA, 2006. Google Scholar E. L au, M.-H. N icole and A. V asiu, Stratification of Newton polygon strata and Traverso’s conjectures for p-divisible groups, Ann. of Math. 178, 3 (2013), 789–834. cisco room kit instructionsWebSURVEY OF CRYSTALLINE REPRESENTATIONS AND F-CRYSTALS 3 If we denote by ϕ : W →W the Frobenius automorphism of W (lifting the Frobenius automorphism α … cisco room kit mini spec sheetWebCrystalline solids have well-defined edges and faces, diffract x-rays, and tend to have sharp melting points. In contrast, amorphous solids have irregular or curved surfaces, do not give well-resolved x-ray diffraction … diamond shaped glass gemsWebFeb 14, 2024 · The notion of crystalline representation is rational in nature, so it has little meaning for torsion representations. On the other hand, based on their discovery of … cisco room kit pro firmwareWebOct 5, 2016 · Kisin, M., ‘ Crystalline representations and F-crystals ’, in Algebraic Geometry and Number Theory, Progress in Mathematics, 253 ( Birkhäuser Boston, Boston, MA, 2006 ), 459 – 496. CrossRef Google Scholar [13] Kisin, M., ‘ Integral models for Shimura varieties of abelian type ’, J. Amer. Math. Soc. 23 ( 4) ( 2010 ), 967 – 1012. cisco room kit mini specsWebAug 22, 2024 · The body-centered cubic (bcc) has a sphere at each corner of a cube and one in the center. Each sphere has a coordination number 8 and there are 2 atoms per … diamond shaped glass tileWebCrystalline representations and F-crystals Authors: Mark Kisin Abstract Following ideas of Berger and Breuil, we give a new classification of crystalline representations. The … diamond shaped glass paperweight