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2012 Fiscal Year Final Research Report

Comprehensive studies on Shimura varieties, arithmeticgeometry, Galois representations, and automorphic representations

Research Project

  • PDF
Project/Area Number 20674001
Research Category

Grant-in-Aid for Young Scientists (S)

Allocation TypeSingle-year Grants
Research Field Algebra
Research InstitutionKyoto University

Principal Investigator

ITO Tetsushi  京都大学, 大学院・理学研究科, 准教授 (10456840)

Project Period (FY) 2008 – 2012
Keywords数論幾何学 / ガロア表現 / 保型表現 / 志村多様体
Research Abstract

We invited many young foreign researchers working actively on the topics related toShimura varieties, Galois representations and automorphic representations, andorganized several international workshops. We organized several workshops on recentadvanced topics for young researchers including graduate students. We actively haddiscussions and seminars with the participants, and promoted comprehensive studiesby not being obsessed with existing categories of topics. We provided new insights intothe geometry and the cohomology of Shimura varieties and Rapoport-Zink spaceswhich are local analogues of Shimura varieties.

  • Research Products

    (15 results)

All 2013 2012 2011 2010 2009 2008

All Journal Article (5 results) Presentation (10 results)

  • [Journal Article] ガロア理論と淡中‐クライン双対性2013

    • Author(s)
      伊藤哲史
    • Journal Title

      数学セミナー

      Volume: 2013 年1 月号 Pages: 18-23

  • [Journal Article] 非可換類体論の現状,ゼータ関数の解析接続法2011

    • Author(s)
      伊藤哲史
    • Journal Title

      数理科学

      Volume: 2011 年1 月号 Pages: 40-45

  • [Journal Article] 合同ゼータのリーマン予想とその発展・影響2009

    • Author(s)
      伊藤哲史
    • Journal Title

      数学セミナー

      Volume: 2009 年11月号 Pages: 18-23

  • [Journal Article] 有限体上の楕円曲線の有理点ハッセの定理2009

    • Author(s)
      伊藤哲史
    • Journal Title

      数学書房編「この定理が美しい」

      Pages: 20-29

  • [Journal Article] 佐藤‐テイト予想の証明の方針2008

    • Author(s)
      伊藤哲史
    • Journal Title

      数学のたのしみ2008 最終号, 日本評論社

      Volume: 2008 最終号 Pages: 118-132

  • [Presentation] Supercuspidalrepresentations in the cohomology of theRapoport-Zink space for the unitary groupin three variables2013

    • Author(s)
      伊藤哲史
    • Organizer
      AutomorphicRepresentations and Related Topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2013-01-23
  • [Presentation] Supercuspidalrepresentations in the cohomology of theRapoport-Zink space for the unitary groupin three variables2013

    • Author(s)
      伊藤哲史
    • Organizer
      Workshop on Modularforms and Galois Representations
    • Place of Presentation
      Korea Institute for AdvancedStudy, 韓国
    • Year and Date
      2013-01-07
  • [Presentation] p-adic uniformization ofShimura varieties and applications2012

    • Author(s)
      伊藤哲史
    • Organizer
      KIAS Intensive Lecture Series on RigidGeometry and the Local Langlandscorrespondence
    • Place of Presentation
      KoreaInstitute for Advanced Study, 韓国.
    • Year and Date
      2012-01-05
  • [Presentation] l-adic cohomology ofRapoport-Zink spaces and supercuspidalpackets2011

    • Author(s)
      伊藤哲史
    • Organizer
      Workshop on the arithmeticgeometry of Shimura varieties andRapoport-Zink spaces
    • Place of Presentation
      京都大学数学教室.
    • Year and Date
      2011-07-07
  • [Presentation] On the l-adic cohomology ofthe Rapoport-Zink space for GSp(4)2010

    • Author(s)
      伊藤哲史
    • Organizer
      TheSecond PANT (PanAsian Number Theory)Conference
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-16
  • [Presentation] On the order of vanishing ofautomorphic L-functions for GL(2) over global fields at the center of functionalequation2010

    • Author(s)
      伊藤哲史
    • Organizer
      Workshop on arithmeticgeometry and related topics
    • Place of Presentation
      National Taiwan University, 台湾.
    • Year and Date
      2010-07-12
  • [Presentation] Logarithmic geometry andDeligne-Rapoport's integral models2009

    • Author(s)
      伊藤哲史
    • Organizer
      Workshop on Automorphic Representations,Geometry, and Arithmetic
    • Place of Presentation
      National Taiwan University, 台湾.
    • Year and Date
      2009-07-23
  • [Presentation] On the cohomology ofsupersingular loci of Siegel threefolds2009

    • Author(s)
      伊藤哲史
    • Organizer
      p-adic Hodge theory, p-adic modular formsand applications
    • Place of Presentation
      Centrede Conferences de la Station de Biologie,Marine, Roscoff, フランス
    • Year and Date
      2009-07-14
  • [Presentation] On the l-adic cohomology ofSiegel threefolds in characteristic p2009

    • Author(s)
      伊藤哲史
    • Organizer
      PANT 2009 - Pohang, Pan Asian Number TheoryConference
    • Place of Presentation
      POSTECH(浦項工科大学), 韓国
    • Year and Date
      2009-01-10
  • [Presentation] On the l-adic cohomology ofSiegel threefolds in characteristic p2008

    • Author(s)
      伊藤哲史
    • Organizer
      代数的整数論とその周辺
    • Place of Presentation
      京都大学数理解析研究所.
    • Year and Date
      2008-12-09

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Published: 2014-08-29  

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