Yuichi IKE

Doctoral student
The University of Tokyo
Graduate School of Mathematical Sciences
Komaba, Tokyo
Japan

FMSP course student
JSPS fellowship DC1

mail: ike[at]ms.u-tokyo.ac.jp

CV

RESEARCH

PUBLICATIONS

TALKS

CV


Name : Yuichi Ike
Born in Niigata, Japan, September 1990

Education

Mar. 2013 Bachelor of Sciences, the University of Tokyo
Mar. 2015 Master of Mathematical Sciences, the University of Tokyo
(Adviser : Kiyoomi Kataoka)

Scientific visit

Oct.-Nov. 2016 Institut de mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG), France (two months)

Fellowship

Oct. 2013-Mar. 2018 FMSP course student
Apr. 2015-Mar. 2018 JSPS fellowship DC1

Research


Algebraic analysis, Microlocal theory of sheaves, Microlocal geometry

Publications


Papers and preprints


  1. Compact exact Lagrangian intersection in cotangent bundles via sheaf quantization, preprint (2017). arXiv:1701.02057

  2. (with T. Kuwagaki) Categorical localization for the coherent-constructible correspondence, preprint (2016). arXiv:1609.01177

  3. Hyperbolic localization via shrinking subbundles, preprint (2016), supplement to arXiv:1504.04185. arXiv:1602.04651

  4. (with Y. Matsui, K. Takeuchi) Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets, to appear in Int. Math. Res. Not. article link arXiv:1504.04185

  5. Microlocal Lefschetz classes of graph trace kernels, Publ. RIMS Kyoto Univ. 52 (2016), 83–101. article link arXiv:1504.05439

Thesis


  1. Study of fixed point formulas using microlocal sheaf theory, master thesis (2015) (in Japanese).

Talks


  1. Applications of microlocal sheaf theory to symplectic geometry in cotangent bundles
    Geometry Seminar,
    Tokyo Metropolitan University, June 2017.

  2. Introduction to microlocal sheaf theory and sheaf quantization
    Mini Workshop on Microlocal Geometry, 2017,
    Graduate School of Mathematics, Nagoya University, April 2017.

  3. Sheaf-theoretic approaches to symplectic geometry in cotangent bundles
    Seminar on geometry and related topics,
    RIMS, Kyoto University, March 2017.

  4. Compact exact Lagrangian intersection in cotangent bundles via sheaf quantization
    The 12th Kagoshima Algebra-Analysis-Geometry Seminar,
    Kagoshima University, February 2017.

  5. Categorical localization for the coherent-constructible correspondence
    Workshop on mirror symmetry and related topics, Kyoto 2016,
    Kyoto University, December 2016.

  6. Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets
    Séminaire Analyse Algébrique,
    IMJ-PRG, October 2016.

  7. Categorical localization for the coherent-constructible correspondence
    Séminaire symplectix,
    Institut Henri Poincaré, October 2016.

  8. Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets
    Workshop on Stratified Spaces: Perspectives from Analysis, Geometry and Topology,
    The Fields Institute, The University of Toronto, August 2016. Slide

  9. Categorical localization for the coherent-constructible correspondence
    (poster session, with T. Kuwagaki)
    Summer school 2016 of the IMJ-PRG, Symplectic topology, sheaves and mirror symmetry,
    IMJ-PRG, June-July 2016.

  10. Lefschetz fixed point formulas for higher-dimensional fixed point sets
    The sixth Japanese-Australian Workshop on Real and Complex Singularities,
    Kagoshima University, November 2015. Slide

  11. Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets
    "Microlocal Analysis and Singular Perturbation Theory",
    RIMS, Kyoto University, October 2015. Slide

  12. Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets
    Saitama university thursday seminar (geometry),
    Saitama University, July 2015. Slide

  13. Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets
    TUAT seminar 2015,
    Tokyo University of Agriculture and Technology, June 2015.

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