## 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

### 2022年12月05日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

On sharper estimates of Ohsawa--Takegoshi $L^2$-extension theorem in higher dimensional case (Japanese)
[ 講演概要 ]
Hosono proposed an idea of getting an $L^2$-estimate sharper than the one of Berndtsson--Lempert type $L^2$-extension theorem by allowing constants depending on weight functions in $\mathbb{C}$.

In this talk, I explain the details of "sharper estimates" and the higher dimensional case of it. Also, I explain my recent studies related to it.
[ 参考URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6

### 2022年12月12日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

$L^2$-extension index and its applications (Japanese)
[ 講演概要 ]
In this talk, we introduce a new concept of $L^2$-extension indices. By using this notion, we propose a new way to study the positivity of curvature. We prove that there is an equivalence between how sharp the $L^2$-extension is and how positive the curvature is. As applications, we study Prekopa-type theorems and the positivity of a certain direct image sheaf.
[ 参考URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6

### 2023年01月16日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室

TBA (Japanese)
[ 講演概要 ]
TBA
[ 参考URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6