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Kenji Fukaya
深谷賢治
Kenji Fukaya 2010
Born
Kanagawa prefecture, Japan
Nationality
Japanese
Alma mater
University of Tokyo
Known for
Fukaya category Kuranishi structure
Scientific career
Fields
Mathematician
Institutions
Simons Center for Geometry and Physics Stony Brook University
Kenji Fukaya (Japanese: 深谷賢治, Fukaya Kenji) is a Japanese mathematician known for his work in symplectic geometry and Riemannian geometry.[1] His many fundamental contributions to mathematics include the discovery of the Fukaya category. He is a permanent faculty member at the Simons Center for Geometry and Physics and a professor of mathematics at Stony Brook University.
KenjiFukaya (Japanese: 深谷賢治, FukayaKenji) is a Japanese mathematician known for his work in symplectic geometry and Riemannian geometry. His many fundamental...
finer structure can be described as an A∞-category. They are named after KenjiFukaya who introduced the A ∞ {\displaystyle A_{\infty }} language first in...
Mathematician, 1984 Fields Medal, 2014 Breakthrough Prize in Mathematics KenjiFukaya, Mathematician James Glimm, Mathematician, former president of American...
group. Kuranishi structures were introduced by Japanese mathematicians KenjiFukaya and Kaoru Ono in the study of Gromov–Witten invariants and Floer homology...
provided a proof of a version of the conjecture for elliptic curves. KenjiFukaya was able to establish elements of the conjecture for abelian varieties...
collaborated extensively with KenjiFukaya, Oh Yong-Geun, and Hiroshi Ohta (see Fukaya category). In a joint work with K. Fukaya, he constructed Floer cohomology...
simply-connected cotangent bundles. Invent. Math. 172 (2008), no. 1, 1–27. (with KenjiFukaya and Ivan Smith) 2013 Ian Agol for: Lower bounds on volumes of hyperbolic...
monotone case under suitable assumptions on the minimal Maslov number. KenjiFukaya, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono proved it for ( M , ω ) {\displaystyle...
quantization of a square-integrable functions on a symplectic manifold. KenjiFUKAYA, Floer homology of Lagrangian Foliation and Noncommutative Mirror Symmetry...
symplectic topology. John, March 21- Morgan, Dusa McDuff, Mohammad Tehrani, KenjiFukaya, Dominic D. Joyce, Simons Center for Geometry and Physics. Providence...
permanent faculty currently consists of mathematicians Simon Donaldson, KenjiFukaya, and John Pardon, and physicists Nikita Nekrasov and Zohar Komargodski...
curvature of the ith manifold. There is a theorem proved by Jeff Cheeger, KenjiFukaya and Mikhail Gromov, which states that: There exists a constant ε ( n...
Timothy Durrett Jean Écalle Boris L. Feigin Joel Feldman Andreas Floer KenjiFukaya Hillel Furstenberg Matthias Günther David Gabai Étienne Ghys Henri Gillet...
categories and Crane–Yetter state sum invariants for 4-manifolds. 1993 KenjiFukaya A∞-categories and A∞-functors. A∞-categories can also be viewed as noncommutative...
curvature bounds Kevin Corlette, Harmonic maps and geometric superrigidity KenjiFukaya, Fundamental groups of almost non-negatively curved manifolds Mikhail...
categories and Crane-Yetter state sum invariants for 4-manifolds. 1993 KenjiFukaya A∞-categories and A∞-functors: Most commonly in homological algebra,...
bounds using techniques of Jeff Cheeger and Tobias Colding, particularly KenjiFukaya's metric measure convergence. The limit spaces in this setting are metric...
August 2018. "Anime, movie and drama location on Enoshima and Kamakura". Fukaya, Kenji (2015). 江ノ電 10kmの奇跡 [Enoden - The 10 km Miracle] (in Japanese). Japan:...
Kenji Kawaguchi (Japanese: 川口健二) is a Japanese mixed martial artist. He competed in the Welterweight division. After a 10–0–4 career in Shooto, Kawaguchi...
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