컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0149 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-05) Several Complex Variables and Related Topics (SS-05) |
| 발표시간(Time) | 20th-C-11:10 -- 11:30 |
| 영문제목 (Title(Eng.)) |
On the bounded subsolution problem for the complex Monge-Ampère flows |
| 저자(Author(s)) |
Bowoo Kang1 KAIST1 |
| 초록본문(Abstract) | The complex Monge–Ampère flow is a parabolic PDE modeled on the Kähler-Ricci flow. In 2021, Guedj-Lu-Zeriahi constructed a parabolic pluripotential theory to study degenerate versions of complex Monge–Ampère flows. It is a natural question whether results of the elliptic pluripotential theory can be extended to the parabolic pluripotential theory. In this talk, I shall present my recent results on the bounded subsolution problem for the complex Monge-Ampère flows. This is motivated by the result in elliptic theory by Kołodziej (1995). |
| 분류기호 (MSC number(s)) |
32U20, 32W20 |
| 키워드(Keyword(s)) | Complex Monge–Ampère flow, subsolution, pluripotential theory |
| 강연 형태 (Language of Session (Talk)) |
English |