Organization
College of Liberal Arts Department of Mathematics Professor
Title
Professor
KONISHI Yukiko
Research Interests
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MIrror Symmetry
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Frobenius structure
Research Areas
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Natural Science / Algebra
Research History
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Tsuda University Faculty of Liberal Arts Department of Mathematics Professor
2018.4
Professional Memberships
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日本数学会
2005.4
Committee Memberships
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日本数学会 理事
2021.6 - 2023.5
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Tokyo Journal of Mathematics Editor
2021.4 - 2023.3
Committee type：Other
Papers
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Almost duality for Saito structure and complex reflection groups II: the case of Coxeter and Shephard groups Reviewed International journal
Yukiko Konishi, Satoshi MInabe
Pure and Applied Mathematics Quarterly 16 ( 3 ) 721 - 754 2020.11
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Mixed Frobenius structure and the local A-model Reviewed
Yukiko Konishi, Satoshi Minabe
Kyoto Journal of Mathematics 60 ( 3 ) 997 - 1032 2020.9
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Almost duality for Saito structure and complex reflection groups Reviewed
Yukiko Konishi, Satoshi Minabe, Yuuki Shiraishi
Journal of Integrable Systems 3 ( 120 ) xyy003 2018.3
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Mixed Frobenius structure and local quantum cohomology Reviewed
Yukiko Konishi, Satoshi Minabe
Publ. Res. Inst. Math. Sci. 52 ( 1 ) 43 - 62 2016.3
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Local B-model and Mixed Hodge Structure Reviewed
Yukiko Konishi, Satoshi Minabe
Adv. Theor. Math. Phys. 14 ( 4 ) 1089 - 1145 2010.8
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Local Gromov-Witten invariants of cubic surfaces via nef toric degeneration Reviewed
Yukiko Konishi, Satoshi Minabe
Ark. Mat. 47 ( 2 ) 345 - 360 2009.10
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Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau threefolds Reviewed
Shinobu Hosono, Yukiko Konishi
Adv. Theor. Math. Phys. 13 ( 2 ) 463 - 495 2009.4
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Flop invariance of the topological vertex Reviewed
Yukiko Konishi, Satoshi Minabe
Internat. J. Math. 19 ( 1 ) 27 - 45 2008.1
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On solutions to Walcher's extended holomorphic anomaly equation Reviewed
Yukiko Konishi, Satoshi Minabe
Comm. Num. Theor. Phys. 1 ( 3 ) 579 - 603 2007.9
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Jacobian variety and integrable system - after Mumford, Beauville and Vanhaecke Reviewed
Rei Inoue, Yukiko Konishi, Takao Yamazaki
J. Geom. Phys. 57 ( 3 ) 815 - 831 2007.2
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Multi-Hamiltonian structures on Beauville's integrable system and its variant Reviewed
Rei Inoue, Yukiko Konishi
SIGMA 3 007 2007.1
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Integrality of Gopakumar-Vafa Invariants of Toric Calabi-Yau Threefolds Reviewed
Yukiko Konishi
Publ. RIMS, Kyoto Univ. 42 ( 2 ) 605 - 648 2006.6
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Pole Structure of Topological String Free Energy Reviewed
Yukiko Konishi
Publ. RIMS, Kyoto Univ. 42 ( 1 ) 173 - 219 2006.3
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Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting Reviewed
Yukiko Konishi, Kazuhiro Sakai
Nucl. Phys. B 682 ( 1-2 ) 465 - 483 2004.3
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Geometric Engineering of Seiberg-Witten Theories with Massive Hypermultiplets Reviewed
Michihiro Naka, Yukiko Konishi
Nucl. Phys. B 674 ( 1-2 ) 3 - 36 2003.12
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Coset Construction of Spin(7), G2 Gravitational Instantons Reviewed
Michihiro Naka, Yukiko Konishi
Class. Quant. Grav. 18 ( 24 ) 5521 - 5544 2001.12
Presentations
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Satake's good basic invariants for finite complex reflection groups Invited International conference
Yukiko Konishi
Women at the Intersection of Mathematics and Theoretical Physics Meet in Okinawa 2023.3.20
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齋藤構造の概双対性と複素鏡映群への応用
小西由紀子
不変式・超平面配置と平坦構造 吉永正彦, 高橋篤史
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齋藤構造の双対性と複素鏡映群への応用
小西由紀子
第４回K3曲面・エンリケス曲面ワークショップ 齋藤幸子
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Almost duality for Saito structure and its application to complex reflection groups International conference
Yukiko Konishi
Quantization of Spectral Curves Yoshihiro Ohnita, Masato Okado, Motohico Mulase
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Local Quantum cohomology and Mixed Frobenius Structure International conference
Yukiko Konishi
Bridgeland stability and Birational geometry Daisuke Matsushita
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Local B-model and Mixed Hodge Structure International conference
Yukiko Konishi
代数幾何学シンポジウム
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Local B-model and Mixed Hodge Structure International conference
Yukiko Konishi
International Conference on Symplectic Geometry and Physics
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Local B-model and Mixed Hodge Structure International conference
Yukiko Konishi
Mirror Symmetry and Gromov-Witten invariants
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On Soutions to Walcher's Extended Holomorphic Anomaly Equation International conference
Yukiko Konishi
Mini-workshop on Mirror Symmetry 秦泉寺雅夫
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Local Gromov-Witten invariants of cubic surfaces via toric degenerations International conference
Yukiko Konishi
MSJ-IHES joint Workshop on ``Noncommutativity''
Research Projects
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Grant number：21H04994 2021.07 - 2026.03
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)
高橋 篤史, 藤野 修, 入谷 寛, 小西 由紀子, 安田 健彦, 大川 新之介, 岩木 耕平, 神田 遼
Grant amount：\112710000 （ Direct Cost: \86700000 、 Indirect Cost：\26010000 ）
ミラー対称性という，代数学と幾何学の役割を入れ替える対称性の存在が知られている．ミラー対称性は多くの重要な着想・予想を与え，幅広い数学を単に関連させるだけでなく，新たな知見を与え既存の数学を深めるため極めて重要である．本研究で，ミラー対称性の一層の理解と古典的重要問題に対する大きな貢献をもたらし，新たな数学を拓いてゆく．
日本の得意分野である代数幾何学や日本で独自進化を遂げた周期の理論を中心課題に，独創的で優れた研究を日本から世界へ発信する．
国際研究集会の開催や特任教員・研究員の雇用で当該研究分野の活性化および将来的・持続的発展を促し，ミラー対称性を核とした国際研究拠点の形成を目指す． -
Fusion of Birational Geometry and Theory of Periods; A New Era for Studies of Mirror Symmetry
Grant number：16H06337 2016.05 - 2021.03
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)
TAKAHASHI ATSUSHI
Grant amount：\103870000 （ Direct Cost: \79900000 、 Indirect Cost：\23970000 ）
By various research method (such as categorical entropy, semiorthogonal decompositions of derived categories, gamma integral structures and etc.), the fusion of the birational geometry and the theory of periods has been pushed forward and some great progress has been made towards solving important issues. By hiring post doctoral researchers, not only accelerating this research project itself, but it has laid the foundation for revitalization and future/sustainable development of the research field.
Research results are disseminated and external findings are acquired at many international conferences, workshops and study groups organized by this project, which encouraged and blossomed ideas that would lead to new research.