• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

p-adic Hodge theory and its application

Research Project

Project/Area Number 23740001
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Algebra
Research InstitutionHokkaido University

Principal Investigator

MORITA Kazuma  北海道大学, 理学(系)研究科(研究院), 助教 (40548187)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsp-adic Hodge theory / algebraic cycle / elliptic curve / p-adic Hodge Theory / algebraic cycles / elliptic curves / サイクル / Hodge理論 / p進理論 / なし
Outline of Final Research Achievements

(1). In the higher dimensional p-adic Hodge theory, I generalized the p-adic monodromy theorem due to L.Berger. (2). It is known that the mixed Hodge structure due to P.Deligne cannot enough information about algebraic cycles and I constructed the new category which can capture the information about algebraic cycles. (3). I showed that rational points on arithmetic elliptic curves which are discrete objects could behave as continuous objects. (4). Based on the study on (2) and (3), I gave some observations on theoretical physics.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (7 results)

All 2014 2013 2012 Other

All Journal Article (1 results) (of which Peer Reviewed: 1 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (2 results) Remarks (4 results)

  • [Journal Article] Crystalline and semi-stable representations in the imperfect residue field case2014

    • Author(s)
      Kazuma Morita
    • Journal Title

      Asian journal of mathematics

      Volume: 18 Pages: 143-158

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Calculations of elliptic modular curves2013

    • Author(s)
      森田知真
    • Organizer
      数論幾何学セミナー
    • Place of Presentation
      北海道大学 (札幌市)
    • Related Report
      2013 Research-status Report
  • [Presentation] Cremona on elliptic curves2012

    • Author(s)
      Kazuma Morita
    • Organizer
      数論幾何学セミナー
    • Place of Presentation
      北海道大学 (札幌市)
    • Related Report
      2011 Research-status Report
  • [Remarks] Webpage of Kazuma Morita

    • URL

      http://kazuma-morita.jimdo.com/

    • Related Report
      2014 Annual Research Report
  • [Remarks] Webpage of Kazuma Morita

    • URL

      http://kazuma-morita.jimdo.com/

    • Related Report
      2013 Research-status Report
  • [Remarks] Web page of Kazuma Morita

    • URL

      http://kazuma-morita.jimdo.com/

    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

      http://kazuma-morita.jimdo.com/

    • Related Report
      2011 Research-status Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi