Floer homology of symplectic manifolds and contact manifolds, symplectic field theory, Floer homology of families
Overview of the research
Gromov's pseudoholomorphic curve and Floer's Floer homology are now powerful tools for the study of symplectic geometry and contact geometry. I study Floer theory of symplectic manifolds and contact manifolds to obtain dynamical applications such as the properties of periodic orbits or symplectic diffeomorphisms. Especially, I am strongly interested in Floer homology of families and its applications.
Research Areas
Natural sciences, Geometry
Papers
Spectral invariants of distance functions
Suguru Ishikawa
JOURNAL OF TOPOLOGY AND ANALYSIS, Dec. 2016, Peer-reviewed
Presentations
symplectic field thoery とその構成
石川卓
第67回トポロジーシンポジウム, 15 Oct. 2020
Construction of symplectic field theory and smoothness of Kuranishi structure
Suguru Ishikawa
第66回幾何学シンポジウム, 26 Aug. 2019
Construction of symplectic field theory and smoothness of Kuranishi structure
Suguru Ishikawa
Conference on Fukaya Category and Homological Mirror Symmetry, 19 Aug. 2019
Construction of symplectic field theory
Suguru Ishikawa
The 3rd Symposium in Geometry and Differential Equations, 22 May 2019
Construction of general symplectic field theory
Suguru Ishikawa
FUKAYA 60 GEOMETRY AND EVERYTHING, 18 Feb. 2019
Symplectic field theory の構成
石川卓
接触構造、特異点、微分方程式及びその周辺, 30 Jan. 2019
The deformation of the target space in the construction of symplectic field theory
Suguru Ishikawa
微分トポロジーセミナー, 06 Nov. 2018
Estimate of spectral invariant and non-displaceability
Suguru Ishikawa
Seminar in Symplectic geometry, Jan. 2018
An estimate of spectral invariant and non-displaceability
Suguru Ishikawa
Geometry and Dynamics Seminar, 01 Jun. 2016
An estimate of spectral invariant and non-displaceability
Suguru Ishikawa
Symplectic geometry seminar, 29 Feb. 2016
Spectral invariants of distance functions
Suguru Ishikawa
East Asian Symplectic Conference, 03 Nov. 2015
Spectral invariants of distance functions
Suguru Ishikawa
日本数学会 2015 年度秋季総合分科会 , 京都産業大学, 15 Sep. 2015
list
Last Updated :2025/05/27
Education
Teaching subject(s)
From Apr. 2020, To Mar. 2021
Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences