A Report on the Behavior of Differential Forms on Log Canonical Spaces I

2025-05-13 16:49:12

时间:2025年5月15日(星期四),13:00-15:00

地点:E4-201


主持人:Xin Fu, ITS

主讲人:Yongpan Zou, Tokyo University

报告主题:A Report on the Behavior of Differential Forms on Log Canonical Spaces I

报告摘要:In this report, I survey the results of Greb, Kebekus, Kovács, and Peternell on differential forms on log canonical varieties. In particular, they show that any (logarithmic) ppp-form defined on the smooth locus of a variety with log canonical or klt singularities extends regularly to any resolution of singularities. I will briefly outline the proof of the main theorem and also introduce some related results from the analytic point of view.