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

2025-05-13 16:49:12
报告人 时间 13:00-15:00
地点 E4-201 2025
月日 05-15

Time:13:00-15:00, Thursday, May 15 2025

Venue:E4-201


Host:Xin Fu, ITS

Speaker:Yongpan Zou, Tokyo University

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

Abstract: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.