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General studies on L-class, cobordism theory, bivariant theory and related topics

Research Project

Project/Area Number 16H03936
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionKagoshima University

Principal Investigator

Yokura Shoji  鹿児島大学, 理工学域理学系, 教授 (60182680)

Co-Investigator(Kenkyū-buntansha) 森吉 仁志  名古屋大学, 多元数理科学研究科, 教授 (00239708)
木村 俊一  広島大学, 理学研究科, 教授 (10284150)
佐伯 修  九州大学, マス・フォア・インダストリ研究所, 教授 (30201510)
竹内 潔  筑波大学, 数理物質系, 教授 (70281160)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥12,870,000 (Direct Cost: ¥9,900,000、Indirect Cost: ¥2,970,000)
Fiscal Year 2018: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Keywordsmotivic Hirzebruch 類 / Hirzebruch chi-y 種数 / 双変理論 / 代数的コボルデイズム / ファイブレーション / 代数的コボルデイズ / poset構造 / L-類 / コボルデイズム理論 / 特性類 / motivic Hirezebruch類
Outline of Final Research Achievements

We extended Levine-Morel's algebraic cobordism to S-schemes. While we were aiming to complete a bivariant algebraic cobordism, Toni Annala (University of British Columbia) completed it in November 2018. Now we are working together with Toni Annala on a bivariant algebraic cobordism of vector bundles.
While we were looking for a bivariant L-class, we noticed that Hirzebruch chi-y genus is multiplicative for a fiber bundle. With this unexpected discovery as a starting point, we obtained the multiplicativity mod 8 of chi-y genus and homological congruence formulae of the motivic characteristic class and so on. Based on the idea of bivariant theory, we also obtained interesting results on the homotopy set of mappings and so on.

Academic Significance and Societal Importance of the Research Achievements

我々が目指していた双変代数的コボルディズム理論はToni Annala氏が最新の分野である導来代数幾何の理論と代表者與倉の先行結果を用いて完成したが,我々の先行研究および目指す結果が最新の研究分野と繋がったという意味で学術的意義がある.L-類の研究中発見したHirzebruch chi-y種数のmod 4乗法性が,良く知られた指数のmod 4乗法性の拡張であることは評価に値する.当初予定になかった,写像のホモトピー集合を双変理論の視点で考察した結果が,フィールズ賞受賞者であるA.Connes等の最新の研究と関連しているという指摘を査読者から受けた事から,我々の研究成果は評価に値すると考えたい.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (124 results)

All 2020 2019 2018 2017 2016 2015 Other

All Int'l Joint Research (13 results) Journal Article (40 results) (of which Int'l Joint Research: 13 results,  Peer Reviewed: 35 results,  Open Access: 6 results,  Acknowledgement Compliant: 4 results) Presentation (62 results) (of which Int'l Joint Research: 41 results,  Invited: 50 results) Book (5 results) Funded Workshop (4 results)

  • [Int'l Joint Research] University of Wisconsin-Madison/Indiana University-Bloomington/The University of Massachusetts(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Universite Nice Sophia Antipolis(フランス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Higher School of Economics(ロシア連邦)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Indiana University in Bloomington/University of Wisconsin, Madison(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Universitaet Muenster/Universitaet Heidelberg(Germany)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Universite Nice Sophia Antipolis(France)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Higher School of Economics(ロシア連邦)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Institute de Mathematiques de Marseille/Universite de Lille(France)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Westfaelische Wilhelms-Universitaet(Germany)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Colorado at Boulder(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Leeds(United Kingdom)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Sapienza Universita di Roma(Italy)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research]

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Motivic Milnor-Hirzebruch classes revisited2020

    • Author(s)
      S. Yokura
    • Journal Title

      The Proceedings of FJV2017 Kagoshima (World Scientific)

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Oriented bivariant theory, II --Algebraic cobordism of S-schemes2019

    • Author(s)
      S. Yokura
    • Journal Title

      International Journal of Mathematics

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homological congruence formulae for characteristic classes of singular varieties2019

    • Author(s)
      L. Maxim and S. Yokura
    • Journal Title

      European Journal of Mathematics

      Volume: - Issue: 4 Pages: 1267-1292

    • DOI

      10.1007/s40879-018-0305-2

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A proset structure induced from homotopy classes of maps and a classification of fibrations2019

    • Author(s)
      T. Yamaguchi and S. Yokura
    • Journal Title

      Communications of the Korean Mathematical Society

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Poset-stratified space structures of homotopy sets2019

    • Author(s)
      T. Yamaguchi and S. Yokura
    • Journal Title

      Homology, Homotopy and Applications

      Volume: 21 Issue: 2 Pages: 1-22

    • DOI

      10.4310/hha.2019.v21.n2.a1

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Elimination of definite fold II2019

    • Author(s)
      O.Saeki
    • Journal Title

      Kyushu J. Math.

      Volume: -

    • NAID

      130007871384

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A signature invariant for stable maps of 3-manifolds into surfaces2019

    • Author(s)
      O. Saeki
    • Journal Title

      Proceedings of the Australian-Japanese Workshop on Real and Complex Singularities

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation values of polynomial functions and perverse sheaves2019

    • Author(s)
      K. Takeuchi
    • Journal Title

      Annales de l'Institut Fourier

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On decomposition spaces, Alexandroff spaces and related topics2018

    • Author(s)
      S. Yokura
    • Journal Title

      Kyoto University RIMS Kokyuroku

      Volume: 2064 Pages: 5-26

    • Related Report
      2018 Annual Research Report
    • Open Access
  • [Journal Article] Hirzebruch chi-y-genera modulo 8 of fiber bundles for odd integers y,2018

    • Author(s)
      C. Rovi and S. Yokura
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 12 Issue: 4 Pages: 587-602

    • DOI

      10.4310/pamq.2016.v12.n4.a7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On a relative Hilali conjecture2018

    • Author(s)
      T. Yamaguchi and S. Yokura
    • Journal Title

      African Diaspora Journal of Mathematics

      Volume: 21 Pages: 81-86

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simplified broken Lefschetz fibrations and trisections of 4-manifolds2018

    • Author(s)
      Baykur R. ?nan?、Saeki Osamu
    • Journal Title

      Proceedings of the National Academy of Sciences

      Volume: 115 Issue: 43 Pages: 10894-10900

    • DOI

      10.1073/pnas.1717175115

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] An algebraic description of screw dislocations in SC and BCC crystal lattices2018

    • Author(s)
      Hamada Hiroyasu、Matsutani Shigeki、Nakagawa Junichi、Saeki Osamu、Uesaka Masaaki
    • Journal Title

      Pacific Journal of Mathematics for Industry

      Volume: 10 Issue: 1

    • DOI

      10.1186/s40736-018-0037-8

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On vanishing theorems for local systems associated to Laurent polynomials2018

    • Author(s)
      A. Esterov and K. Takeuchi
    • Journal Title

      Nagoya Math. Journal

      Volume: 231 Pages: 1-22

    • DOI

      10.1017/nmj.2017.8

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hirzebruch chi-y-genera of complex algebraic fiber bundles--the multiplicativity of the signature modulo 4--2018

    • Author(s)
      Shoji Yokura
    • Journal Title

      IMPANGA 15 "Schubert Varieties, Equivariant Cohomology and Characteristic Classes ", EMS (European Mathematical Society) Series of Congress Reoports

      Volume: ー Pages: 315-330

    • DOI

      10.4171/182-1/13

    • ISBN
      9783037191828, 9783037196823
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hirzebruch chi-y-genera modulo 8 of fiber bundles for odd integers y2018

    • Author(s)
      Carmen Rovi and Shoji Yokura
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 未定

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Topics of motivic characteristic classes2018

    • Author(s)
      Shoji Yokura
    • Journal Title

      Sugaku Expositions, American Mathematical Society

      Volume: 未定

    • NAID

      130006725307

    • Related Report
      2017 Annual Research Report
  • [Journal Article] On decomposition spaces, Alexandroff spaces and related topics2018

    • Author(s)
      Shoji Yokura
    • Journal Title

      Kyoto Univeristy RIMS Kokyuroku

      Volume: 2064

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Simplified broken Lefschetz fibrations and trisections of 4-manifolds2018

    • Author(s)
      R.I. Baykur and Osamu Saeki
    • Journal Title

      Proc. Natl. Acad. Sci. USA. (to appear)

      Volume: 未定

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Singular fibers of stable maps of manifold pairs and their applications2018

    • Author(s)
      O. Saeki and T. Yamamoto
    • Journal Title

      Springer Proceedings in Mathematics & Statistics

      Volume: 222 Pages: 259-294

    • DOI

      10.1007/978-3-319-73639-6_8

    • ISBN
      9783319736389, 9783319736396
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On vanishing theorems for local systems associated to Laurent polynomial2018

    • Author(s)
      A. Esterov and Kiyoshi Takeuchi
    • Journal Title

      Nagoya Math. Journal

      Volume: 未定

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets2018

    • Author(s)
      Y. Ike, Y. Matsui and Kiyoshi Takeuchi
    • Journal Title

      Int. Math. Res. Not.

      Volume: 未定

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets2017

    • Author(s)
      Yuichi Ike, Yutaka Matsui and Kiyoshi Takeuchi
    • Journal Title

      Int. Math. Res. Not.

      Volume: 印刷中 Issue: 15 Pages: 4852-4898

    • DOI

      10.1093/imrn/rnx030

    • Related Report
      2018 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] "Counting" spaces and related topics2017

    • Author(s)
      Shoji Yokura
    • Journal Title

      Topology and Its Applications

      Volume: - Pages: 206-219

    • DOI

      10.1016/j.topol.2016.03.036

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Theory of singular fibers and Reeb spaces for visualization2017

    • Author(s)
      O. Saeki
    • Journal Title

      Topological Methods in Data Analysis and Visualization IV - Theory, Algorithms, and Applications

      Volume: 報告集 Pages: 3-33

    • DOI

      10.1007/978-3-319-44684-4_1

    • ISBN
      9783319446820, 9783319446844
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces2017

    • Author(s)
      Osamu Saeki
    • Journal Title

      Kyoto Univeristy RIMS Kokyuroku

      Volume: 2049 Pages: 155-172

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Hirzebruch chi-y-genera of complex algebraic fiber bundles--- the multiplicativity of the signature modulo 4 --2017

    • Author(s)
      Shoji Yokura
    • Journal Title

      IMPANGA 15 Conference (Lecture Note SeriesIMPANGA Lecture Note Series ``Vector bundles, Schubert varieties and equivariant cohomology-Dedicated to Friedrich Hirzebruch"

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Topics of motivic characteristic classes2017

    • Author(s)
      Shoji Yokura
    • Journal Title

      Sugaku Expositions, American Mathematical Society

      Volume: 印刷中

    • NAID

      130006725307

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] ``Counting” spaces and related topics2017

    • Author(s)
      Shoji Yokura
    • Journal Title

      Topology and Its Applications

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On vanishing theorems for local systems associated to Laurent polynomial2017

    • Author(s)
      Alexander Esterov and Kiyoshi Takeuchi
    • Journal Title

      Nagoya Math. Journal

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Motivic and derived motivic Hirzebruch classes2016

    • Author(s)
      Jean-Paul Brasselet, Joerg Schoerrmann and Shoji Yokura
    • Journal Title

      Homology, Homotopy and Applications

      Volume: 18 Issue: 2 Pages: 283-301

    • DOI

      10.4310/hha.2016.v18.n2.a16

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Fiber-homotopy self-equivalences and a classification of fibrations in rational homotopy2016

    • Author(s)
      Toshihiro Yamaguchi and Shoji Yokura
    • Journal Title

      Journal of Homotopy and Related Structures

      Volume: 11 Issue: 4 Pages: 957-972

    • DOI

      10.1007/s40062-016-0152-0

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] The Calabi invariant and central extensions of diffeomorphism groups2016

    • Author(s)
      Hitoshi Moriyoshi
    • Journal Title

      Geometry and Topology of Manifolds, Springer Proceedings in Mathematics & Statistics

      Volume: 154 Pages: 283-297

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings2016

    • Author(s)
      Alexander Gorokhovsky, Hitoshi Moriyoshi and Paolo Piazza,
    • Journal Title

      J. Noncommut. Geom.

      Volume: 10 Pages: 265-306

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Topology of manifolds and global theory of singularities2016

    • Author(s)
      Osamu Saeki
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B55 Pages: 185-203

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications2016

    • Author(s)
      Osamu Saeki and Takahiro Yamamoto
    • Journal Title

      Algebraic & Geometric Topology

      Volume: 16 Issue: 3 Pages: 1379-1402

    • DOI

      10.2140/agt.2016.16.1379

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cobordism group of Morse functions on surfaces with boundary2016

    • Author(s)
      Osamu Saeki and Takahiro Yamamoto
    • Journal Title

      Contemporary Mathematics

      Volume: 675 Pages: 279-297

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multivariate topology simplification2016

    • Author(s)
      A. Chattopadhyay, H. Carr, D. Duke, Z. Geng, and Osamu Saeki
    • Journal Title

      Computational Geometry

      Volume: 58 Pages: 1-24

    • DOI

      10.1016/j.comgeo.2016.05.006

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Monodromies at infinity of non-tame polynomials2016

    • Author(s)
      Kiyoshi Takeuchi and Mihai Tibar
    • Journal Title

      Bull. Soc. Math. France

      Volume: 144 Pages: 477-506

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Characteristic classes of symmetric products of complex quasi-projective varieties2015

    • Author(s)
      Sylvain Cappell, Laurentiu Maxim, Joerg Schuermann, Julius Shaneson and Shoji Yokura
    • Journal Title

      J. fur Reine und Angewandte Mathematik

      Volume: 未定 Issue: 728 Pages: 35-63

    • DOI

      10.1515/crelle-2014-0114

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] On bicycles2019

    • Author(s)
      Shoji Yokura
    • Organizer
      The 14th Algebra-Analysis-Geometry Seminar (at Kagoshima University)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An index theorem on binary tube and the bounded Euler cocycle2019

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting (University of Hawaii at Manoa, Honolulu, HI, USA)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Unlinking singular locus from regular fibers and its application to submersions2019

    • Author(s)
      佐伯 修
    • Organizer
      接触構造、特異点、微分方程式及びその周辺 (静岡県男女共同参画センター「あざれあ」)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Unlinking singular locus from regular fibers and its application to submersions2019

    • Author(s)
      Osamu Saeki
    • Organizer
      The 14th Algebra-Analysis-Geometry Seminar (at Kagoshima University)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 未定2019

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      Higgs bundles and D-modules (Porto Univeristy, Portugal)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On irregularities of Fourier transforms of regular holonomic D-module2019

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      The 14th Algebra-Analysis-Geometry Seminar (at Kagoshima University)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Congruence formulae for Hirzebruch chi-y genera and motivic Hirzebruch classes of singular varieties2018

    • Author(s)
      Shoji Yokura
    • Organizer
      “Special Session on Singularities in Geometry, Topology, and Algebra”, the Joint International Meeting of the Chinese Mathematical Society and the American Mathematical Society
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Motivic Hirzebruch classes of singular varieties and some homological congruence formulae”2018

    • Author(s)
      Shoji Yokura
    • Organizer
      MPS Conference on Singularities: Geometric, Topological, and Analytic Aspects (Simons Foundations)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fuzzy sphere and the Ginsparg-Wilson index2018

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      Noncommutative Geometry and Representation Theory (Tianyuan Mathematical Center, Chengdu, China)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A new index theorem on Fuzzy sphere2018

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      Symmetries in Symplectic, Contact and Poisson Geometries (Soochow University, Suzhou,China)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Combinatorial Gauss-Bonnet theorem and the Alexander-Spanier cohomology2018

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      GAP (geometry, algebra, analysis and mathematical physics) Seminar (University of Science and Technology of China, Hefei, China)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 多面体に対する Gauss-Bonnet 定理とAlexander-Spanier コホモロジー2018

    • Author(s)
      森吉 仁志
    • Organizer
      愛媛大学数学教室談話会 (愛媛大学理学部,松山)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] A discrete Gauss curvature on polyhedron via the Alexander-Spanier cohomology2018

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      葉層構造と微分同相群2018研究集会 (東京大学玉原セミナーハウス,玉原)
    • Related Report
      2018 Annual Research Report
  • [Presentation] 多面体の離散ガウス曲率および離散正則回転数と Alexander-Spanierコホモロジー2018

    • Author(s)
      森吉 仁志
    • Organizer
      高次元多面体勉強会 (名古屋大学,名古屋)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Simplified broken Lefschetz fibrations and trisections of 4-manifolds2018

    • Author(s)
      Osamu Saeki
    • Organizer
      研究集会 Intelligence of Low-dimensional Topology (京都大学数理解析研究所)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Singular locus and regular fibers, do they link each other ?2018

    • Author(s)
      Osamu Saeki
    • Organizer
      15th International Workshop on Real and Complex Singularities ( ICMC, Univ. of Sao Paulo, Brazil)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Simplifying broken Lefschetz fibrations and trisections of 4-manifolds2018

    • Author(s)
      Osamu Saeki
    • Organizer
      Four Dimensional Topology (Osaka City University)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Elimination of definite fold for simple stable maps2018

    • Author(s)
      Osamu Saeki
    • Organizer
      Real Algebraic Geometry and Singularity Theory Symposium (Memorial Conference of Masahiro Shiota), (Kobe Harborland Campus of Hyogo University of Teacher Education, Kobe, Japan)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Unlinking singular locus from regular fibers and its application to submersions2018

    • Author(s)
      Osamu Saeki
    • Organizer
      Geometry, Topology and Dynamics Seminar (Okinawa Institute of Science and Technology, Okinawa, Japan)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On irregularities of Fourier transforms of regular holonomic D-modules2018

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      Riemann-Hilbert correspondences (Padova University, Italy)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Simplifying indefinite fibrations and trisections of 4-manifolds2018

    • Author(s)
      Osamu Saeki
    • Organizer
      The 13th Kagoshima Algebra-Analysis-Geometry Seminar (鹿児島大学)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Singular set and regular fibers, do they link each other?2018

    • Author(s)
      Osamu Saeki
    • Organizer
      特異点論とその応用【泉屋周一先生退職記念研究集会】(北海道大学)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 微分トポロジーを用いたデータの可視化2018

    • Author(s)
      佐伯 修
    • Organizer
      2018年度精密工学会 春季大会シンポジウム 「AIMaP 数学応用シンポジウム:精密工学と幾何学の新たな出会い」(中央大学 後楽園キャンパス)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On irregularities of Fourier transforms of regular holonomic D-modules2018

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      Workshop "Riemann-Hilbert correspondences" (Padova Univeristy, Italy)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] TBA2017

    • Author(s)
      Shoji Yokura
    • Organizer
      Singularity Theory Conference
    • Place of Presentation
      Shanghai (China)
    • Year and Date
      2017-07-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] TBA2017

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      Singularity Theory Conference
    • Place of Presentation
      Shanghai(China)
    • Year and Date
      2017-07-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the monodromies and the limit mixed Hodge structures of families of algebraic varieties2017

    • Author(s)
      竹内 潔
    • Organizer
      農工大数学セミナー2017
    • Place of Presentation
      東京農工大学(東京都、府中市)
    • Year and Date
      2017-03-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 安定写像の特異ファイバーとその応用2017

    • Author(s)
      佐伯修
    • Organizer
      RIMS-IMI談話会
    • Place of Presentation
      京都大学数理解析研究所(京都府、京都市)
    • Year and Date
      2017-02-01
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On decomposition spaces, Alexandroff spaces and related topics2017

    • Author(s)
      Shoji Yokura
    • Organizer
      RIMS 研究集会「集合論的・幾何学的トポロジーの動向と諸分野との連携」
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On poset-stratified spaces and related topics2017

    • Author(s)
      Shoji Yokura
    • Organizer
      SINGULARITY THEORY CONFERENCE (East China Normal University, Shanghai)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Poset-stratified spaces and some applications2017

    • Author(s)
      與倉昭治
    • Organizer
      東京大学大学院数理科学研究科トポロジー火曜セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] モチビックHirzebruch特性類について2017

    • Author(s)
      與倉昭治
    • Organizer
      東京大学大学院数理科学研究科集中講義
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 多面体のガウス・ボンネ定理と離散的曲率 I2017

    • Author(s)
      森吉仁志
    • Organizer
      幾何学阿蘇研究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 多面体のガウス・ボンネ定理と離散的曲率 II2017

    • Author(s)
      森吉仁志
    • Organizer
      幾何学阿蘇研究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Calabi 不変量と微分同相群の中心拡大2017

    • Author(s)
      森吉仁志
    • Organizer
      葉層構造の幾何学とその応用(京都教育大 藤森キャンパス)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Introduction to singularity theory and fiber topology in multivariate data analysis2017

    • Author(s)
      Osamu Saeki
    • Organizer
      Topology, Computation and Data Analysis, Dagstuhl Seminar 17292 ( Schloss Dagstuhl - Leibniz Center for Informatics, Germany)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Indefinite fibrations on differentiable 4-manifolds2017

    • Author(s)
      Osamu Saeki
    • Organizer
      Brazil-Mexico 3rd Meeting on Singularities (UNAM, Unidad Cuernavaca, Cuernavaca, Mexico)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces2017

    • Author(s)
      Osamu Saeki
    • Organizer
      PRIMA 3rd Congress, Singularities of Spaces and Mappings (Oaxaca, Mexico)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Global aspect of singularity theory2017

    • Author(s)
      佐伯 修
    • Organizer
      ベクトル値滑層分割Morse理論の構築による多数目的最適化問題の解集合の可視化 (マス・フォア・インダストリ研究所短期共同研究,九州大学)
    • Related Report
      2017 Annual Research Report
  • [Presentation] Simplifying indefinite fibrations on 4-manifolds2017

    • Author(s)
      Osamu Saeki
    • Organizer
      Geometric and Algebraic Singularity Theory (Bedlewo, Poland)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces2017

    • Author(s)
      Osamu Saeki
    • Organizer
      Australian-Japanese Workshop on Real and Complex Singularities (The University of Sydney, Australia)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topologia das singularidades e teoria de nos I (in Portuguese)2017

    • Author(s)
      Osamu Saeki
    • Organizer
      IV Encontro de Singularidades no Nordeste (Departamento de Matematica da Universidade Federal da Paralba, Joao Pessoa, Brazil)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Topologia das singularidades e teoria de nos II (in Portuguese)2017

    • Author(s)
      Osamu Saeki
    • Organizer
      IV Encontro de Singularidades no Nordeste (Departamento de Matematica da Universidade Federal da Paralba, Joao Pessoa, Brazil)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Topologia das singularidades e teoria de nos III (in Portuguese)2017

    • Author(s)
      Osamu Saeki
    • Organizer
      IV Encontro de Singularidades no Nordeste (Departamento de Matematica da Universidade Federal da Paralba, Joao Pessoa, Brazil)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Elimination of definite fold II2017

    • Author(s)
      Osamu Saeki
    • Organizer
      可微分写像の特異点論の局所的研究と大域的研究 (京都大学数理解析研究所)
    • Related Report
      2017 Annual Research Report
  • [Presentation] Simplifying indefinite fibrations on 4-manifolds2017

    • Author(s)
      佐伯 修
    • Organizer
      半田山・代数・幾何セミナー (岡山理科大学)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On the monodromies and the limit mixed Hodge structures of families of algebraic varieties2017

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      SINGULARITY THEORY CONFERENCE (East China Normal University, Shanghai)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the monodromy conjecture for non-degenerate hypersurfaces2017

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      3rd PRIMA congress in Oaxaca (Oaxaca, Mexico)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Indefinite fibrations on 4-manifolds2016

    • Author(s)
      Osamu Saeki
    • Organizer
      Differential Geometry, Lie Theory and Low Dimensional Topology
    • Place of Presentation
      Melbourne(Australia)
    • Year and Date
      2016-12-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces2016

    • Author(s)
      佐伯修
    • Organizer
      可微分写像の特異点論とその応用
    • Place of Presentation
      京都大学数理解析研究所(京都府、京都市)
    • Year and Date
      2016-12-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Stable maps on 3-manifolds and signatures of 4-manifolds with boundary2016

    • Author(s)
      佐伯修
    • Organizer
      研究集会「4次元トポロジー」
    • Place of Presentation
      大阪市立大学理学部(大阪府、大阪市)
    • Year and Date
      2016-11-27
    • Related Report
      2016 Annual Research Report
  • [Presentation] Rationality of Motivic Chow Series modulo infinitesimal A^1-homotopy2016

    • Author(s)
      Shun-ichi Kimura
    • Organizer
      The first congress of Algebra Geometry of Mexico
    • Place of Presentation
      Oaxaca(Mexico)
    • Year and Date
      2016-10-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 微分トポロジーによるデータ可視化2016

    • Author(s)
      佐伯修
    • Organizer
      日本機械学会2016年度年次大会(産業に応える数学 ―幾何・統計・計算数学からものづくりへ―)
    • Place of Presentation
      九州大学伊都キャンパス(福岡県、福岡市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] らせん転位の数学的表現の現状とその問題点2016

    • Author(s)
      佐伯修
    • Organizer
      結晶のらせん転位の数理
    • Place of Presentation
      九州大学マス・フォア・インダストリ研究所(福岡県、福岡市)
    • Year and Date
      2016-09-01
    • Related Report
      2016 Annual Research Report
  • [Presentation] トポロジーでデータ構造を解析する2016

    • Author(s)
      佐伯修
    • Organizer
      第10回設計情報学研究会
    • Place of Presentation
      KKRホテル熊本(熊本県、熊本市)
    • Year and Date
      2016-08-26
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Hirzebruch chi-y-genera and signatures of singular varities2016

    • Author(s)
      Shoji Yokura
    • Organizer
      Focus Program on Topology, Stratified Spaces and Particle Physics
    • Place of Presentation
      Toronto (Canada)
    • Year and Date
      2016-08-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A Bordism extension and the Callias index theorem2016

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      Conference on Geometry, Representation Theory and the Baum-Connes Conjecture
    • Place of Presentation
      Toronto(Canada)
    • Year and Date
      2016-07-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 可微分多様体上の安定写像のトポロジー(I), (II)2016

    • Author(s)
      佐伯修
    • Organizer
      研究集会「特異点の大域的研究」
    • Place of Presentation
      兵庫教育大学神戸ハーバーランドキャンパス(兵庫県、神戸市)
    • Year and Date
      2016-06-24
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On the monodromies and the limit mixed Hodge structures of families of algebraic varieties2016

    • Author(s)
      Kiyoshi Takeuchi
    • Organizer
      Iberian Meeting on Algebraic Analysis
    • Place of Presentation
      Lisbon (Portugal)
    • Year and Date
      2016-06-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Symplectic embeddings into complex projective space2016

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      Mini-workshop on Symplectic and Non-Commutative Geometry
    • Place of Presentation
      Suzhou(China)
    • Year and Date
      2016-05-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On symplectic embeddings of Kodaira-Thurston manifold2016

    • Author(s)
      Hitoshi Moriyoshi
    • Organizer
      Workshop on Development of new methods in Symplectic Geometry: JSPS Bilateral Joint Research Project between Belgium and Japan
    • Place of Presentation
      Tokyo Electron House of Creativity, Tohoku University(宮城県、仙台市)
    • Year and Date
      2016-04-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hirzebruch chi-y-genera and signatures of algebraic varieties2016

    • Author(s)
      Shoji Yokura
    • Organizer
      Toric topology 2016 in Kagoshima
    • Place of Presentation
      鹿児島大学理学部 (鹿児島県、鹿児島市)
    • Year and Date
      2016-04-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] 数学リテラシー2018

    • Author(s)
      竹内 潔、久保隆徹
    • Total Pages
      208
    • Publisher
      共立出版
    • ISBN
      9784320113497
    • Related Report
      2018 Annual Research Report
  • [Book] The Role and Importance of Mathematics in Innovation, Proceedings of the Forum “Math-for-Industry” 20152017

    • Author(s)
      B. Anderssen, P. Broadbridge, Y. Fukumoto, N. Kamiyama, Y. Mizoguchi, K. Polthier, and O. Saeki
    • Total Pages
      188
    • Publisher
      Springer
    • ISBN
      9789811009617
    • Related Report
      2017 Annual Research Report
  • [Book] 結晶の界面、転位、構造の数理2017

    • Author(s)
      松谷 茂樹,佐伯 修,中川 淳一,田上 大助,上坂 正晃,Pierluigi Cesana, 濱田 裕康
    • Total Pages
      148
    • Publisher
      九州大学マス・フォア・インダストリ研究所
    • Related Report
      2017 Annual Research Report
  • [Book] D加群2017

    • Author(s)
      竹内 潔、新井 仁之、小林 俊行、斎藤 毅、吉田 朋広
    • Total Pages
      328
    • Publisher
      共立出版
    • ISBN
      9784320112056
    • Related Report
      2017 Annual Research Report
  • [Book] School on Real and Complex Singularities in Sao Carlos, 2012, Advanced Studies in Pure Mathematics2016

    • Author(s)
      Raimundo Nonato Araujo dos Santos, Victor Hugo Jorge Perez, Osamu Saeki and Takashi Nishimura (editors)
    • Total Pages
      373
    • Publisher
      Kinokuniya,
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] The 14th Algebra-Analysis-Geometry Seminar2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 第13回代数・解析・幾何学セミナー(鹿児島大学理学部)2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Noncommutative Geometry and K-theory at Rits -The Fourth China-Japan Conference-(立命館大学)2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] The The 5th Franco-Japanese-Vietnamese Symposium on Singularities(鹿児島大学理学部)2017

    • Related Report
      2017 Annual Research Report

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Published: 2016-04-21   Modified: 2023-03-16  

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