Differential Geometry Seminar (2015)
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 Shin Kato Kaname Hashimoto 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@sci.osaka-cu.ac.jp shinkato@sci.osaka-cu.ac.jp h-kaname@sci.osaka-cu.ac.jp |
| Speaker | Osamu Kobayashi (Osaka University) |
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| Title | 閉曲線の共形的長さと山辺の共形不変量 |
| Date | March 8 (Tue.) 2016, 14：45～16：15 |
| Place | Dept. of Mathematics, Sci. Bldg., F404 |
| Abstract | Japanese page only |
| Speaker | Saki Okuhara (OCAMI) |
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| Title | The tt*-Toda equation and loop groups |
| Date | February 23 (Tue), 2016, 14：45～16：15 |
| Place | Dept. of Mathematics, Sci. Bldg., E408 |
| Abstract | Bolton, Pedit and Woodward showed in 1995 that the Toda equations correspond to harmonic maps of Riemann surface into the complex projective spaces via loop groups. We will explain an analogy for the tt*-Toda equations in this talk. |
| Speaker | Hong Van Le （Institute of Mathematics of ASCR, Czech Republic（Professor）） |
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| Title | Deformation of Lagrangian submanifolds in strict nearly Kaehler 6-manifolds |
| Date | December 2 (Wed.), 2015 14：45～16：15 |
| Place | Dept. of Mathematics, Sci. Bldg., F415 |
| Abstract | Deformation of Lagrangian submanifolds in strict nearly Kaehler 6-manifolds Abstract: Lagrangian submanifolds in strict nearly Kaehler 6-manifolds $M^6$ are related to special Lagrangian submanifolds in Calabi-Yau 6-manifolds and coassociative cones in $G_2$-manifolds. In my talk I shall explain the reduction of the deformation problem of Lagrangian submanifolds in the smooth category to the deformation problem in the real analytic category and derive its consequences. I also compare our result with a consideration by Lotay for the case $M^6=S^6$ and discuss some related open problems. A part of my talk is based on our joint preprint with Lorenz Schwachhoefer (arXiv:1408.6433). |
| Speaker | Eliot Fried （OIST） |
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| Title | (1) Shape transitions in some systems involving line and surface energy (2) Kinematics and energetics of unstretchable two-dimensiona elastic bodies |
| Date | October 14 (Wed.)(1) 14：45 ～ 15：45(2) 16：00 ～ 17：00 |
| Place | Dept. of Mathematics, Sci. Bldg., F415 |
| Abstract | (1) We will present a variational problem that combines the challenges of creating aesthetically pleasing space curves and constructing area minimizing surfaces. The problem consists of finding energetically preferred equilibrium configurations of a system consisting of a closed, inextensible, unshearable loop endowed with elastic resistance to bending that is spanned by a liquid film endowed with constant surface tension. Aside from presenting results from bifurcation and stability analyses based on the first and second variations of the relevant energy functional, we will provide results for various generalizations of the problem.(2) We will present a variational theory for two-dimensional bodies that are unstretchable in the sense that they are capable of sustaining only isometric deformations. Aside from the relevant Euler--Lagrange equations,we will derive boundary conditions and consider applications to ribbons and Moebius bands. |
| Speaker | Shigeyasu Kamiya (Osaka City University) |
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| Title | ２次元複素双曲空間に作用する複素双曲三角群について |
| Date | April 15 (Wed.) 16：45～18：15 |
| Place | Dept. of Mathematics, Sci. Bldg., F415 |
| Abstract | Japanese page only |