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 Masashi Yasumoto Department of Mathematics Osaka City University Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, JAPAN |
| TEL | 06-6605-2617 (Ohnita) 06-6605-2616 (Kato) |
| ohnita[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 | Hiroyuki Tasaki (Tsukuba University) |
| Title | 有向実Grassmann多様体の対蹠集合の織り方 |
| Date | February 16 (Fri.) 2018, 15：30 ～ 17：00 |
| Place | Dept. of Mathematics, Sci. Bldg., E408 |
| Abstract | Japanese page only |
| Speaker | Hajime Ono（Saitama University) |
| Title | 共形ケーラー, アインシュタイン・マックスウェル計量の体積最小性 |
| Date | December 19 (Tue.) 2017, 15：30 ～ 17：00 |
| Place | Dept. of Mathematics, Sci. Bldg., F415 |
| Abstract | Japanese page only |
| Speaker | Osamu Kobayashi（OCAMI） |
| Title | リーマン多様体のmassーADM質量からWillmore汎関数まで |
| Date | December 8 (Fri.) 2017, 14:45 〜 16:15 |
| Place | Dept. of Mathematics, Sci. Bldg., E408 |
| Abstract | Japanese page only |
| Speaker | Toru Kajigaya (AIST / MathAM-OIL) |
| Title | On Hamiltonian stability and generalized mean curvature flow in Fano manifolds |
| Date | Jul 5 (Wed.) 2017, 14:45 〜 16:15 |
| Place | Dept. of Mathematics, Faculty of Science Bldg., F415 |
| Abstract |
In this talk, we first extend the notions of Hamiltonian-minimality and stability of Lagrangian submanifolds in Kahler-Einstein manifolds to Fano manifolds. More precisely, we consider a globally
conformal Kahler metric $g_f$ or a weighted measure on a Fano manifold $M$, where $f$ is a function on $M$ defined by the Ricci form of $M$, and show that the several results in Kahler-Einstein
manifolds can be extended to Fano contexts by using $g_f$. In particular, we introduce the notions of f-minimality and Hamiltonian f-stability for Lagrangian submanifolds as a stationary point and a local
minimizer of the volume functional w.r.t. $g_f$, respectively. We show such examples naturally appear in a Fano manifold.
Next, we consider the generalized Lagrangian mean curvature flow in a Fano manifold which is introduced by T. Behrndt and Smoczyk-Wang. We generalize the result of Haozhao Li, and show that if the
initial Lagrangian submanifold is a small Hamiltonian deformation of a f-minimal and Hamiltonian f-stable Lagrangian submanifold, then the generalized MCF converges exponentially fast to a f-minimal
Lagrangian submanifold. This talk is based on a joint work with Keita Kunikawa (Nagoya Univ.). |
| Speaker | Hyeongki Park (Kyushu University) |
| Title | Explicit Formulas for Area-preserving Deformations of Planar Equicentroaffine Curves |
| Date | Jun 14 (Wed.) 2017, 14:45 〜 16:15 |
| Place | Dept. of Mathematics, Faculty of Science Bldg., F415 |
| Abstract | We present a formulation of discrete dynamics of discrete planar equicentroaffine curves which is characterized as an area-preserving deformation. The deformation is governed by the discrete Korteweg-de Vries (KdV) equation. We also construct explicit formulas for the discrete deformation as well as the continuous deformation of smooth curves, in terms of the $\tau$ function. In the construction, we use the correspondence to the isoperimetric (arclength-preserving) deformation of planar curves in the Minkowski plane. |
| Speaker | Wayne Rossman (Kobe University) |
| Title | Singularities of semi-discrete linear Weingarten surfaces |
| Date | May 10 (Wed.) 2017, 14:45 〜 16:15 |
| Place | Dept. of Mathematics, Faculty of Science Bldg., F415 |
| Abstract | Smooth linear Weingarten surfaces with Weierstrass-type representations will typically have singularities. In the case of the corresponding semi-discrete surfaces as well, a similar behavior of singularities is expected. We will present an analysis of singularities in the latter case. This talk is based on joint work with Masashi Yasumoto (OCAMI). |
