Differential Geometry Seminar (2018)
As a project of OCAMI, we shall promote the seminar on differential geometry in the wide sense of including the areas related to geometric analysis, topology, algebraic geometry, mathematical physics, integrable systems, information sciences etc.
| Contact | Yoshihiro Ohnita Hiroshi Tamaru Shin Kato Kaname Hashimoto Masashi Yasumoto Department of Mathematics Osaka City University Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, JAPAN |
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| TEL | 06-6605-2617 (Ohnita) 06-6605-2616 (Kato) |
| ohnita[at]sci.osaka-cu.ac.jp tamaru[at]sci.osaka-cu.ac.jp shinkato[at]sci.osaka-cu.ac.jp h-kaname[at]sci.osaka-cu.ac.jp yasumoto[at]sci.osaka-cu.ac.jp |
| Speaker | Osamu Kobayashi (OCAMI) |
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| Title | 定傾曲線定理の一般化 |
| Date | March 8 (Fri.) 14：45 ～ 16：15 |
| Place | Dept. of Mathematics, Sci. Bldg., F405 |
| Abstract | Japanese page only |
| Speaker | Shin-ichi Matsumura (Tohoku University) |
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| Title | On projective manifolds with semi-positive holomorphic sectional curvature |
| Date | January 1 (Tue.) 16：00 ～ 17：30 |
| Place | Dept. of Mathematics, Sci. Bldg., E408 |
| Abstract | In this talk, I explain the geometry of a projective manifold (more generally a Kaehler manifold) X with semi-positive holomorphic sectional curvature. I first show that, if X has positive holomorphic sectional curvature, then X is rationally connected, that is, arbitrary two points can be connected by a rational curve (the image of P^1 by a holomorphic map). This result gives an affirmative solution for Yau's conjecture. Moreover I show that, if X has semi-positive holomorphic sectional curvature, X admits a locally trivial morphism from X to Y such that the fiber F is rationally connected and the image Y has a finite etale cover by an abelian variety A. This structure theorem can be seen as a generalization of the structure theorem proved by Howard-Smyth-Wu and Mok for holomorphic "bisectional" curvature. Also I show that the universal cover of X is biholomorphic and isometric to the product of C^m and F. The proof depends on the theory of holomorphic foliations. MRC fibrations, and singular hermitian metrics. |
| Speaker | Yu Wang (SUSE/OCAMI) |
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| Title | Geodesic orbit metrics in compact homogeneous manifolds with equivalent isotropy summands |
| Date | November 21 (Wed.) 2018, 14：45 ～ 16：15 |
| Place | Dept. of Mathematics, Sci. Bldg., E408 |
| Abstract | pdf file |