複素解析幾何セミナー

過去の記録 ~04/29次回の予定今後の予定 04/30~

開催情報 月曜日 10:30~12:00 数理科学研究科棟(駒場) 128号室
担当者 平地 健吾, 高山 茂晴, 野村 亮介

今後の予定

2017年05月08日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
藤澤 太郎 氏 (東京電機大学)
Semipositivity theorems for a variation of Hodge structure
[ 講演概要 ]
I will talk about my recent joint work with Osamu Fujino. The main purpose of our joint work is to generalize the Fujita-Zukcer-Kawamata semipositivity theorem from the analytic viewpoint. In this talk, I would like to illustrate the relation between the two objects, the asymptotic behavior of a variation of Hodge structure and good properties of the induced singular hermitian metric on an invertible subbundle of the Hodge bundle.

2017年05月15日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
服部 広大 氏 (慶應義塾大学)
On the moduli spaces of the tangent cones at infinity of some hyper-Kähler manifolds
[ 講演概要 ]
For a metric space $(X,d)$, the Gromov-Hausdorff limit of $(X, a_n d)$ as $a_n \rightarrow 0$ is called the tangent cone at infinity of $(X,d)$. Although the tangent cone at infinity always exists if $(X,d)$ comes from a complete Riemannian metric with nonnegative Ricci curvature, the uniqueness does not hold in general. Colding and Minicozzi showed the uniqueness under the assumption that $(X,d)$ is a Ricci-flat manifold satisfying some additional conditions.
In this talk, I will explain a example of noncompact complete hyper-Kähler manifold who has several tangent cones at infinity, and determine the moduli space of them.

2017年05月22日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
小池 貴之 氏 (京都大学)
Complex K3 surfaces containing Levi-flat hypersurfaces
[ 講演概要 ]
We show the existence of a complex K3 surface $X$ which is not a Kummer surface and has a one-parameter family of Levi-flat hypersurfaces in which all the leaves are dense. We construct such $X$ by patching two open complex surfaces obtained as the complements of tubular neighborhoods of elliptic curves embedded in blow-ups of the projective planes at general nine points.

2017年05月29日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
澤井 洋 氏 (沼津工業高等専門学校)
LCK structures on compact solvmanifolds
[ 講演概要 ]
A locally conformal Kähler (in short LCK) manifold is said to be Vaisman if Lee form is parallel with respect to Levi-Civita connection. In this talk, we prove that a Vaisman structure on a compact solvmanifolds depends only on the form of the fundamental 2-form, and it do not depends on a complex structure. As an application, we give the structure theorem for Vaisman (completely solvable) solvmanifolds and LCK nilmanifolds. Moreover, we show the existence of LCK solvmanifolds without Vaisman structures.

2017年06月12日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
松本 佳彦 氏 (大阪大学)
TBA
[ 講演概要 ]
TBA

2017年06月19日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
竹内 有哉 氏 (東京大学)
TBA
[ 講演概要 ]
TBA

2017年06月26日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
二木 昭人 氏 (東京大学)
TBA
[ 講演概要 ]
TBA

2017年07月03日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
長友 康行 氏 (明治大学)
TBA
[ 講演概要 ]
TBA