## 複素解析幾何セミナー

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

### 2017年04月10日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

TBA
[ 講演概要 ]
TBA

### 2017年04月17日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

Dense holomorphic curves in spaces of holomorphic maps
[ 講演概要 ]
We study when there exists a dense holomorphic curve in a space of holomorphic maps from a Stein space. Our results state that for any bounded convex domain $\Omega \Subset \mathbb{C}^n$ and any connected complex manifold $Y$, the space $\mathcal{O}(\Omega,Y)$ contains a dense holomorphic disc, and that $Y$ is an Oka manifold if and only if for any Stein space $X$ there exists a dense entire curve in every path component of $\mathcal{O}(X,Y)$. The latter gives a new characterization of Oka manifolds. As an application of the former, we construct universal maps from bounded convex domains to any connected complex manifold.

### 2017年04月24日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

Lagrangian Mean Curvature Flows and Moment maps
[ 講演概要 ]
In this talk, we construct various examples of Lagrangian mean curvature flows in Calabi-Yau manifolds, using moment maps for actions of abelian Lie groups on them. The examples include Lagrangian self-shrinkers and translating solitons in the Euclid spaces. We also construct Lagrangian mean curvature flows in non-flat Calabi-Yau manifolds. In particular, we describe Lagrangian mean curvature flows in 4-dimensional Ricci-flat ALE spaces in detail and investigate their singularities.

### 2017年05月08日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

TBA
[ 講演概要 ]
TBA

### 2017年05月22日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

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06月12日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

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

TBA
[ 講演概要 ]
TBA