报告人：张科伟（北京师范大学）

报告时间：11月5日，10：00-11：00

报告地点：二教 2306

题目：Canonical metrics and regularization of the entropy

摘要：Searching for canonical metrics on compact Kahler manifolds is one of the central problems in geometric analysis. The (still open) Yau-Tian-Donaldson conjecture predicts that existence of canonical metrics is equivalent to certain algebro-geometric conditions. Recent work of Chi Li reduces this problem to Boucksom-Jonsson’s regularization conjecture for the entropy. We will first review Li’s work, which relies on non-Archimedean techniques. Then we present some new progress on this problem, by using pluripotential theory and quantization techniques. This talk is based on my recent joint work with T. Darvas.