$L^2$-Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics
김다노
129동 406호
0
2141
05.06 21:45
| 구분 | 복소기하학 |
|---|---|
| 일정 | 2026-05-21(목) 15:30~17:00 |
| 세미나실 | 129동 406호 |
| 강연자 | Yuta Watanabe (Chuo University) |
| 담당교수 | 김다노 |
| 기타 |
Abstract:
In this talk, in order to further develop the $L^2$-theory for the $\overline{\partial}$-operator on line bundles with singular Hermitian metrics over complex spaces, I will establish $L^2$-Dolbeault fine resolutions and isomorphisms, together with $L^2$-estimates. As an application, I will also provide a precise proof of the Nadel vanishing theorem.
