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  1. Motivic p 𝑝 p italic_p-adic tame cohomology. ... the existence of this ring spectrum and the usual properties of motives imply some results on tame motivic cohomology and a comparison with log étale motivic cohomology ... A.M. is supported by Horizon Europe's Marie Skłodowska-Curie Action PF 101103309 "MIPAC" 1.
    • [2306.05099] Motivic monodromy and p-adic cohomology theories - arXiv.org

      View a PDF of the paper titled Motivic monodromy and p-adic cohomology theories, by Federico Binda and 2 other authors. View PDF HTML (experimental) Abstract: We build a unified framework for the study of monodromy operators and weight filtrations of cohomology theories for varieties over a local field. As an application, we give a streamlined ...

  2. matematica.unimi.it

    Prove a general comparison between the log-étale p-adic realizations and tame cohomologies Develop a theory of motives over log points with an integral Hyodo-Kato realization Solve structural problems in the theory of motives of logarithmic schemes MIPAC is an innovative project in motivic homotopy theory built to impact several areas within ...
  3. content.algebraicgeometry.nl

    We show that in the same stable range as above, the p-adic motivic cohomology of X tr|the open Received 16 April 2016, accepted in nal form 27 September 2017. 2010 Mathematics Subject Classi cation 14F42, 14F20, 11G25. Keywords: motivic cohomology, syntomic cohomology, p-adic nearby cycles. This journal is c Foundation Compositio Mathematica2019.
  4. webusers.imj-prg.fr

    Institut de Mathématiques de Jussieu-Paris Rive Gauche

    https://webusers.imj-prg.fr › ~wieslawa.niziol › icm20062.pdf

    p-adic motivic cohomology in arithmetic Wies lawa Nizio l Abstract. We will discuss recent progress by many people in the program of representing motivic cohomology with torsion coefficients of arithmetic schemes by various arithmetic p-adic cohomologies: ´etale, logarithmic de Rham-Witt, and syntomic. To illustrate pos-
  5. webusers.imj-prg.fr

    Institut de Mathématiques de Jussieu-Paris Rive Gauche

    https://webusers.imj-prg.fr › ~wieslawa.niziol › ICM2006slides2.pdf

    •Zariski vs ´etale motivic cohomology Motivic cohomology can be defined both in the Zariski and the ´etale topology. The change of topology map: ρi,n: Hi(X,Z/m(n)) →Hi(X´et,Z/m(n)) Beilinson, Lichtenbaum, Quillen, Thomason: ρi,n is an isomorphism for large n •Etale motivic vs arithmetic cohomologies´ Realizations: ´etale ←−∼ ...
  6. www2.rikkyo.ac.jp

    Y[−2c], which induces a map of hyper-cohomology groups iff∗= Rf∗. Motivic cohomology groups are contravariantly functorial for arbitrary maps between smooth schemes over a field [5, §4], [57, II §3.5] or discrete valuation ring [59]. This requires a moving lemma, because the pull-back of cycles may not meet faces properly.
  7. Jun 8, 2023View a PDF of the paper titled Motivic monodromy and p-adic cohomology theories, by Federico Binda and 2 other authors. View PDF HTML (experimental) Abstract: We build a unified framework for the study of monodromy operators and weight filtrations of cohomology theories for varieties over a local field. As an application, we give a streamlined ...
  8. cordis.europa.eu

    This project aims to study p-adic cohomologies of varieties using tools from motivic homotopy theory. Voevodsky's theory of motives has played a crucial role in solving deep mathematical conjectures. However, motives intrinsically lack a theory of étale p-adic realizations...

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