研究者
J-GLOBAL ID:201701010607124350   更新日: 2024年01月30日

平野 雄貴

Hirano Yuki
所属機関・部署:
職名: 講師
研究分野 (1件): 代数学
競争的資金等の研究課題 (3件):
  • 2019 - 2023 連接層の導来圏への基本群作用と安定性条件の空間の研究
  • 2017 - 2019 高次行列因子化圏の研究
  • 2014 - 2017 行列因子化の理論を応用した多様体の導来圏の研究
論文 (8件):
  • 平野雄貴, Michael Wemyss. Stability conditions for 3-fold flops. Duke Mathematical Journal. 2023. 172. 16. 3105-3173
  • 平野雄貴, 大内元気. Derived factorization categories of non-Thom-Sebastiani-type sums of potentials. Proceedings of the London Mathematical Society. 2022. 126. 1. 1-75
  • 平野雄貴, 大内元気. Prime thick subcategories on elliptic curves. Pacific Journal of Mathematics. 2022. 318. 1. 69-88
  • 平野 雄貴. Equivariant tilting modules, Pfaffian varieties and noncommutative matrix factorizations. SIGMA. Symmetry, Integrability and Geometry. Methods and Applications. 2021. 17
  • 平野 雄貴. Relative singular locus and Balmer spectrum of matrix factorizations. Transactions of the American Mathematical Society. 2019. 371. 7. 4993-5021
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講演・口頭発表等 (12件):
  • Full strong exceptional collections for invertible polynomials of chain type
    (Mini workshop on derived categories and related topics 2020)
  • Stability conditions for 3-fold flops
    (Tiliting Theory, Singularity Categories, & Noncommutative Resolutions 2019)
  • Derived factorization categories of non-Thom--Sebastiani-type sum of potentials
    (Interaction between Algebraic Geometry and QFT 2019)
  • Derived factorization categories of non-Thom--Sebastiani-type sum of potentials
    (Categorical and Analytic Invariants in Algebraic Geometry VI 2018)
  • Derived factorization categories of non-Thom--Sebastiani-type sum of potentials
    (Matrix Factorization and Mirror Symmetry 2018)
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