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 $p$ … 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.
Prismatic $F$-crystals and crystalline Galois representations
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): … 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) openbve f train
INTEGRAL p-ADIC HODGE THEORY AND RAMIFICATION OF CRYSTALLINE …
WebFeb 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 … 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… 213 Highly Influential View 7 excerpts, references methods and background WebOct 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. iowa marathons 2021