Event
01_1
| 제출번호(No.) | 0138 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Geometry (GE) |
| 영문제목 (Title(Eng.)) |
Differential Harnack inequality for curvature flows |
| 저자(Author(s)) |
Hyunsuk Kang1 GIST1 |
| 초록본문(Abstract) | Based on the inspiring works of Li and Yau on parabolic kernel on Riemannian manifolds and of Hamilton using the maximum principle, differential Harnack inequality has been crucial in understanding the geometry and analysis of curvature flows such as mean curvature flow and Ricci flow. For example, this leads to compare the solution of a curvature flow at different points and time, which can be also achieved by space-time constructions. By considering more general curvature flows with the speed determined by curvature function of homogeneous degree one, similar inequalities can be obtained and we will review the development of this topic. |
| 분류기호 (MSC number(s)) |
53C21, 53C44 |
| 키워드(Keyword(s)) | curvature flow, Harnack inequality |
| 강연 형태 (Language of Session (Talk)) |
Korean |