Akito Futaki - 清华大学 - 丘成桐数学科学中心

个人简介

工作经历 1981 April - 1987 March, Lecturer at Chiba University 1987 June - 1996 June, Assistant Professor at Tokyo Institute of Technology 1996 July - 2012 October - 2018 March, Professor at University of Tokyo Visiting positions 1984, August - 1986, July : University of California at Berkeley, Research Associate supported by Japan Society for the Promotion of Science 1991, October - 1992, September : Max-Planck Insitut f\"ur Mathematik, visiting member 1994, August - 1995, May : Mathematical Sciences Research Institute at Berkeley, California supported by Japanese Ministry of Education 2001, September - 2002, February : Institut des Hautes \'Etudes Scientifiques, visiting member 2011, September - 2011, October : Tsinghua University, Mathematical Sciences Center, visiting member. 2016, January - 2016, March : Mathematical Sciences Research Institute at Berkeley, California (Simons Visiting Professor)

研究领域

Kähler geometry

近期论文

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Moment polytopes on Sasaki manifolds and volume minimization. Preprint 2022, arXiv:2201.10832 Irregular Eguchi-Hanson type metrics and their soliton analogues. Pure and Applied Mathematics Quarterly, 17(2021), 27--53. (with L. La Fuente-Gravy) Quantum moment map and obstructions to the existence of closed Fedosov star products. J. Geom. Phys. 163 (2021), 104118. (with Y.Y. Zhang) Residue formula for an obstruction to Coupled K?hler-Einstein metrics. J. Math. Soc. Japan. 73(2021), 389-401. (with Y.Y. Zhang) Coupled Sasaki-Ricci solitons. Science China Math., 64(2021), 1447-1462. (with L. La Fuente-Gravy) Deformation quantization and K?hler geometry with moment map. ICCM 2018 Proc. pp 31--66, (2020) International Press of Boston. arXiv:1904.11749. (with H.Ono) Geometric nonlinear problems and GIT stability through moment maps, In: The Role of Metrics in the Theory of Partial Differential Equations. Advanced Studies in Pure Mathematics 85 (2020), pp 105–114. Math. Soc. Japan. (with H.Ono) On the existence problem of Einstein-Maxwell K?hler metrics, In: Chen J., Lu P., Lu Z., Zhang Z. (eds) Geometric Analysis. Progress in Mathematics, vol 333 (2020), 93-111. Birkh?user, Cham. (with H.Ono) Cahen-Gutt moment map, closed Fedosov star product and structure of the automorphism group, J. Symplectic. Geom. 18(2020), 123-145. (with H.Ono) Conformally Einstein-Maxwell K?hler metrics and structure of the automorphism group, Math. Zeit. 292(2019), 571-589. (with H.Ono) Volume minimization and obstructions to solving some problems in K?hler geometry, ICCM Notices, 6(2018), 51-60. (with H.Ono) Volume minimization and Conformally K?hler, Einstein-Maxwell geometry. J. Math. Soc. Japan. 70(2018), 1493-1521. (with S.Honda and S.Saito) Fano-Ricci limit spaces and spectral convergence. Asian J. Math., 21(2017), 1015-1062. Einstein metrics and GIT stability. II. Sugaku Expositions 28 (2015), no. 2, 231–249. The weighted Laplacians on real and complex metric measure spaces, in Geometry and Analysis on Manifolds, In Memory of Professor Shoshichi Kobayashi, (eds. T.Ochiai et al), Progress in Mathematics, vol.308(2015), 343-351, Birkhauser. (with K.Hattori and H.Yamamoto) Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on toric Calabi-Yau cones, Osaka J. Math., 51(2014), 1053-1079. (with H.Z.Li and X.D.Li) On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons, Ann. Global Anal. Geom. 44 (2013), no. 2, 105--114. (with Y.Sano) Lower diameter bounds for compact shrinking Ricci solitons, Asian J. Math., 17(2013), No.1, 17-31. (with K.Hattori and L.Ornea) An integral invariant from the view point of locally conformally K?hler geometry. Manuscripta Math. 140 (2013), no. 1-2, 1--12. Asymptotic Chow polystability in K?hler geometry, in Fifth International Congress of Chinese Mathematicians Part 1, AMS/IP Studies in Advanced Mathematics, vol. 51, Amer. Math. Soc., Providence, RI, 2012, pp. 139-153. (with Y.Sano) Multiplier ideal sheaves and geometric problems. Variational problems in differential geometry, 68--93, London Math. Soc. Lecture Note Ser., 394, Cambridge Univ. Press, Cambridge, 2012.