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- Kaoru Ono (jap. 小野 薫, Ono Kaoru; * 1962) ist ein japanischer Mathematiker, der sich mit Symplektischer Geometrie und speziell Floer-Homologie und holomorphen Kurven in symplektischen Mannigfaltigkeiten befasst. Er ist Professor am Research Institute for Mathematical Sciences (RIMS) an der Universität Kyōto. Ono promovierte 1990 (Equivariant index of Dirac operators) an der Universität Tokio. Er bewies 1999 mit Kenji Fukaya eine schwache Form der Arnold-Vermutung in der symplektischen Geometrie. Mit Fukaya konstruierte er Floer-Kohomologie von Hamiltonschen Diffeomorphismen auf beliebigen geschlossenen symplektischen Mannigfaltigkeiten und Gromow-Witten-Invariante und mit Fukaya, Y. Oh und Hiroshi Ohta entwickelte er die Floer-Theorie von Lagrange-Untermannigfaltigkeiten (Lagrange-Schnitt-Floer-Homologie) mit Anwendungen in symplektischer Geometrie und homologischer Mirror-Symmetrie. Mit Floer-Nowikow-Kohomologie bewies er die -Fluss-Vermutung. 2005 erhielt er den Herbstpreis der Japanischen Mathematischen Gesellschaft und 1999 den Geometrie-Preis. 2006 war er Invited Speaker auf dem Internationalen Mathematikerkongress in Madrid (Development in symplectic Floer theory). (de)
- Kaoru Ono (小野 薫, Ono Kaoru, born 1962) is a Japanese mathematician, specializing in symplectic geometry. He is a professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University. Ono received from the University of Tokyo his undergraduate degree in 1984, his master's degree in 1987, and his Ph.D. in 1990. Within symplectic geometry, his research has focused on Floer theory and holomorphic symplectic geometry involving holomorphic curves and pseudoholomorphic curves and their applications. He has collaborated extensively with Kenji Fukaya, Oh Yong-Geun, and Hiroshi Ohta (see Fukaya category). In a joint work with K. Fukaya, he constructed Floer cohomology of Hamiltonian diffeomorphisms on arbitrary closed symplectic manifolds as well as Gromov-Witten invariants. Using Novikov-Floer cohomology, he proved the -flux conjecture. In recent years, he has been collaborating with Fukaya, Oh and Ohta in Floer theory for Lagrangian submanifolds and its implications in symplectic geometry and homological mirror symmetry. Ono was awarded by the Mathematical Society of Japan in 1999 the Geometry Prize and in 2005 the Autumn Prize. He was awarded by the Inoue Foundation for Science in February 2007 the Inoue Prize for Science. In 2006 he was an Invited Speaker with talk Development in symplectic Floer theory at the International Congress of Mathematicians in Madrid. In 2022, she serves as Director of the Research Institute for Mathematical Sciences of Kyoto University (KURIMS). (en)
- 小野 薫（おの かおる、1962年 - ）は、日本の数学者。専門はシンプレクティック幾何学。主な業績に弱単調アーノルド予想の解決、アーノルド予想のモース不等式への拡張、フレアーホモロジーの一般化、の解決がある。学位は、博士。北海道大学教授を経て、京都大学数理解析研究所教授。シンプレクティック幾何学を牽引する一人。 2022年4月より京都大学数理解析研究所所長。 (ja)
- Kaoru Ono (em japonês: 小野 薫; Ono Kaoru; 1962) é um matemático japonês, que trabalha com variedades simpléticas e em especial e curvas holomorfas em variedades simpléticas. É professor do Research Institute for Mathematical Sciences (RIMS) na Universidade de Quioto. Foi palestrante convidado do Congresso Internacional de Matemáticos em Madrid (2006: Development in symplectic Floer theory). (pt)
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- 小野 薫（おの かおる、1962年 - ）は、日本の数学者。専門はシンプレクティック幾何学。主な業績に弱単調アーノルド予想の解決、アーノルド予想のモース不等式への拡張、フレアーホモロジーの一般化、の解決がある。学位は、博士。北海道大学教授を経て、京都大学数理解析研究所教授。シンプレクティック幾何学を牽引する一人。 2022年4月より京都大学数理解析研究所所長。 (ja)
- Kaoru Ono (em japonês: 小野 薫; Ono Kaoru; 1962) é um matemático japonês, que trabalha com variedades simpléticas e em especial e curvas holomorfas em variedades simpléticas. É professor do Research Institute for Mathematical Sciences (RIMS) na Universidade de Quioto. Foi palestrante convidado do Congresso Internacional de Matemáticos em Madrid (2006: Development in symplectic Floer theory). (pt)
- Kaoru Ono (jap. 小野 薫, Ono Kaoru; * 1962) ist ein japanischer Mathematiker, der sich mit Symplektischer Geometrie und speziell Floer-Homologie und holomorphen Kurven in symplektischen Mannigfaltigkeiten befasst. Er ist Professor am Research Institute for Mathematical Sciences (RIMS) an der Universität Kyōto. 2005 erhielt er den Herbstpreis der Japanischen Mathematischen Gesellschaft und 1999 den Geometrie-Preis. 2006 war er Invited Speaker auf dem Internationalen Mathematikerkongress in Madrid (Development in symplectic Floer theory). (de)
- Kaoru Ono (小野 薫, Ono Kaoru, born 1962) is a Japanese mathematician, specializing in symplectic geometry. He is a professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University. Ono was awarded by the Mathematical Society of Japan in 1999 the Geometry Prize and in 2005 the Autumn Prize. He was awarded by the Inoue Foundation for Science in February 2007 the Inoue Prize for Science. In 2006 he was an Invited Speaker with talk Development in symplectic Floer theory at the International Congress of Mathematicians in Madrid. (en)
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- Kaoru Ono (de)
- Kaoru Ono (en)
- 小野薫 (ja)
- Kaoru Ono (pt)
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