Canonical metrics and regularization of the entropy


报告专家:张科伟教授(北京师范大学)

报告时间:12月2日(周二)10:30-11:30

报告地点:腾讯会议:541-974-847

报告摘要:

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.


邀请人:盛利


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