Rchr
J-GLOBAL ID：201401059843454049
Update date: Jul. 31, 2024
Iritani Hiroshi
Iritani Hiroshi
Affiliation and department：
Homepage URL (1)：
https://www.math.kyoto-u.ac.jp/~iritani/index_ja.html
Research field (1)：
Geometry
Research keywords (20)：
クレパント変換予想
, フーリエ変換
, サイデル表現
, シフト作用素
, 双有理幾何学
, mirror symmetry
, グロモフ・ウィッテン不変量
, quantum cohomology
, 量子K理論
, トーリック多様体
, D加群
, ホッジ構造
, ランダウ・ギンズブルグ模型
, 齋藤構造
, フロベニウス多様体
, 等モノドロミー変形
, ガンマ整構造
, ストークス構造
, トロピカル幾何
, 同変コホモロジー
Research theme for competitive and other funds (23)：
- 2024 - 2028 グロモフ・ウィッテン理論の大域的構造
- 2023 - 2028 グロモフ・ウィッテン理論の大域的構造
- 2023 - 2026 Classical and Quantum integrable hierarchies in Gromov-Witten type theories
- 2021 - 2026 Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics
- 2020 - 2023 Study of quantum cohomology and periods using tropical geometry
- 2016 - 2021 New development of algebraic geometry viewed from theoretical physics
- 2016 - 2021 Fusion of Birational Geometry and Theory of Periods; A New Era for Studies of Mirror Symmetry
- 2016 - 2019 Study of the Gamma structure in Gromov-Witten theory
- 2013 - 2018 Systematic development and application of methods in differential geometry and integrable systems motivated by quantum cohomology
- 2016 - 2017 ミラー対称性と周期の幾何学
- 2014 - 2017 Study of noncommutative Hodge structures in mirror symmetry
- 2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
- 2011 - 2016 Proof of Homological Mirror Symmetry
- 2013 - 2016 Global structure of mirror symmetry
- 2011 - 2015 Development of Integrable Geometry
- 2010 - 2013 Gromov-Witten theory and mirror symmetry
- 2011 - 2013 Study on mirror symmetry and noncommutative Hodge structures
- 2007 - 2011 New developments and interaction between Algebraic Geometry and Integrable Systems
- 2007 - 2010 Fusion of geometry and the theory of integrable systems
- 2007 - 2010 Orbifold cohomology and generalization of the McKay correspondence
- 2006 - 2006 量子コホモロジーとフレアホモトピーの研究
- 2003 - 2005 ループ空間からの量子コホモロジー環へのアプローチ
- Study of quantum cohomology and mirror symmetry
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Papers (39)：
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Hiroshi Iritani. Gamma classes and quantum cohomology. International Congress of Mathematicians. 2023. 4. 2552-2574
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Hiroshi Iritani. Asymptotics of the banana Feynman amplitudes at the large complex structure limit. Advances in Theoretical and Mathematical Physics. 2022. 26. 5. 1239-1245
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Tom Coates, Hiroshi Iritani. Gromov-Witten invariants of local P^2 and modular forms. KYOTO JOURNAL OF MATHEMATICS. 2021. 61. 3. 543-706
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Hiroshi Iritani. Gamma conjecture and tropical geometry. 2021. 99-113
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Hiroshi Iritani, Todor Milanov, Yongbin Ruan, Yefeng Shen. Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties. Mem. Amer. Math. Soc. 2021. 269. 1310. 1-92
ｍore...
MISC (13)：
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Sergey Galkin, Jianxun Hu, Hiroshi Iritani, Huazhong Ke, Changzheng Li, Zhitong Su. Counter-examples to Gamma conjecture I. 2024
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Hiroshi Iritani. Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds. 2023
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Hiroshi Iritani. Quantum D-modules of toric varieties and oscillatory integrals. 2023
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Hiroshi Iritani. Quantum cohomology of blowups. 2023
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Hiroshi Iritani, Yuki Koto. Quantum cohomology of projective bundles. 2023
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Books (5)：
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数学セミナー2016年12月号
2016
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数学科学2012年8月号
2012
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数学セミナー2011年10月号
2011
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数理科学2010年6月号
2010
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トーリックミラー対称性
東北大学大学院理学研究科 2010
Lectures and oral presentations (25)：
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Decomposition of quantum cohomology under blowups
(Caltech/USC Algebra & Geometry Seminar 2024)
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Decomposition of quantum cohomology under blowups II
(Online Geometry and Physics Seminar 2024)
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Decomposition of quantum cohomology under blowups I
(Online Geometry and Physics Seminar 2024)
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Quantum Duistermaat-Heckmann measure
(Workshop on Nonarchimedean Geometry and Related Fields 2024)
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Fourier analysis of equivariant quantum cohomology
(Homological Mirror Symmetry)
ｍore...
Education (2)：
- 2001 - 2005 Kyoto University Graduate School of Science
- 1998 - 2001 Kyoto University Faculty of Science
Professional career (1)：
Work history (4)：
- 2018/04 - 現在 Kyoto University Professor
- 2010/04 - 2018/03 Kyoto University Assoicate Professor
- 2007/04 - 2010/03 Kyushu University Assistant Professor
- 2006/10 - 2007/03 Kyushu University Assistant Professor
Awards (6)：
- 2018/02 - 日本学術振興会 日本学術振興会賞
- 2016 - Spring Prize
- 2015 - Geometry Prize
- 2011 - 科学技術分野の文部科学大臣表彰 若手科学者賞
- 2009 - 日本数学会 建部賢弘賞(特別賞)
- 2007 - 井上科学振興財団 井上奨励賞
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Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
