The 49th KMGS will be held on September 25, Thursday, at the Natural Science Building (E6-1) Room 1410. We invite a speaker Bowoo Kang from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
[Speaker] 강보우 (Bowoo Kang) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Nguyen Ngoc Cuong
[Title] The pluripotential complex Monge-Ampère flows
[Discipline] PDE, Differential Geometry
[Abstract]
The Kahler-Ricci flow has been a main interest in the field of Kahler geometry, for its application to the construction of canonical metrics. It is a classical result that solving a Kahler-Ricci flow is equivalent to solving a parabolic PDE named complex Monge-Ampere flow. Recently, Guedj-Lu-Zeriahi (‘2021) introduced a parabolic pluripotential theory and studied the weak solutions of degenerate complex Monge-Ampere flows. In this talk, I will first explain their approach with the classical results in elliptic pluripotential theory. I will also explain my recent result on the existence and uniqueness of the solution for more general measures, which is a generalization of the result by Guedj-Lu-Zeriahi.
[Language] English