## Seminar on Geometric Complex Analysis

Date, time & place Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) Kengo Hirachi, Shigeharu Takayama, Ryosuke Nomura

Future seminars

### 2022/12/12

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Takahiro Inayama (Tokyo University of Science)
$L^2$-extension index and its applications (Japanese)
[ Abstract ]
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.
[ Reference URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6

### 2023/01/16

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Takayuki Koike (Osaka Metropolitan University)
TBA (Japanese)
[ Abstract ]
TBA
[ Reference URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6