Abstracts of Blumenthal Lectures 2019
Lecture I (5/27)
Analytic Minimal Model Program
Abstract: The analytic Minimal Model Program was introduced a decade ago
and provided a method to classifying projective manifolds birationally
through Ricci flow. If successful , the method can be also used to classify
Kahler manifolds which are more general than projective manifolds. In this
expository talk, I will give an overview of the Analytic Minimal Model
Program and discuss some fundamental results. I will also discuss some open
problems.
Lecture II (5/28):
Recent progress on Kahler-Ricci flow
Abstract: In this talk, I will first recall some basic results on
Kahler-Ricci flow. Then I will discuss some recent progress on long-time
behavior of the flow. The progress is based on a generalization of
Perelman’s famous non-collapsing result.