NAGATOMO Yasuyuki    Department   Undergraduate School  , School of Science and Technology    Position   Professor
Research Period	2007～2010
Research Topic	Fusion of geometry and the theory of integrable systems
Research Type	KAKENHI Research
Consignor	Japan Society for the Promotion of Science
Research Program Type	Grant-in-Aid for Scientific Research (A)
KAKENHI Grant No.	19204006
Responsibility	Collaborative Researcher
Representative Person	MIYAOKA Reiko
Collaborative Researcher	SASAKI Takeshi, IWASAKII Katunori, OTSU Yukio, KAJIWARA Kenji, NAGATOMO Yasuyuki, NAKAYASHIKI Atsushi, YAMADA Kotaro, FUTAKI Akito, GUEST Martin A., WAYNE Rossman, SHODA Toshihiro, IRITANI Hiroshi, ISHIKAWA Goo, UMEHARA Masaaki, KAWAKUBO Satoshi, TAMARU Hiroshi, FUJIOKA Atsushi, MATSUURA Nozomu, NISHINOU Takeo
Details	We classified almost all isoparametric hypersurface, and characterize them in terms of the moment map, which proves the evidence of a relation with integrable systems. A basic theory of surfaces with singularities, and a new method using the Legendre map have been established. Via the Riemann-Hilbert correspondence, the dynamical system of Painleve equations is investigated, and the view point of the chaos has been developed. The modularity of higher genus Gromov-Witten and the mirror symmetry are discussed. A surface with potential appeared in quantum cohomology is constructed, which contributes to the tt* geometry.