Crystalline representations and f-crystals
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. http://math.stanford.edu/~conrad/papers/luminy.pdf
Crystalline representations and f-crystals
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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 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. 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). Webproperties from the connection of atoms in the crystal, providing a universal and interpretable representation of crystalline materials. Our method provides a highly accurate prediction of density functional theory calculated properties for eight different properties of crystals with various structure types and compositions
WebApr 17, 2024 · In mixed characteristic and in equal characteristic \(p\) we define a filtration on topological Hochschild homology and its variants. This filtration is an analogue of the filtration of algebraic \(K\)-theory by motivic cohomology.Its graded pieces are related in mixed characteristic to the complex \(A\Omega\) constructed in our previous work, and in … 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 …
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 …
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 … he spoke in parablesWebHere, 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 he spoke and the earth was createdWebCrystalline 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… 213 Highly Influential View 7 excerpts, references methods and background he spoke in such a high voiceWebMar 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 … he spoke tender words of sympathyWebgous statement for representations of GL:= Gal(L/L) where L is the p-completion of R (π). The category of lattices of crystalline representations of GL is equivalent to the category of prismatic F-crystals on the absolute prismatic site of SpfOL, or equivalently, that of Kisin modules with descent data ([DLMS22, Cor. 4.36], see also [GR22]). he spoke tender words of sympathy翻译he spoke the incarnationWebCrystalline representations and F-crystals. Mark Kisin; Pages 459-496. Integrable linear equations and the Riemann-Schottky problem. I. Krichever; Pages 497-514. Fibres de Springer et jacobiennes compactifiées. Gérard Laumon; Pages 515-563. Iterated integrals of modular forms and noncommutative modular symbols. he spoke the truth transitive or intransitive