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The trace operator of Kähler currents

组织者

林耿龙 , Enric Sole Farre , 张蓥莹

演讲者

夏铭辰

时间

2025年12月30日 20:00 至 21:30

地点

Online

线上

Zoom 928 682 9093 (BIMSA)

摘要

In the study of plurisubharmonic singularities on projective manifolds, it is important to make induction on the dimension of the underlying manifold. It is therefore desirable to have a well-behaved restriction operator of closed positive (1,1)-currents T from a manifold X to a divisor D. When D is in general position, the analytic Bertini theorems show that the naïve restriction is well-behaved. While for special D, the naïve restriction may fail to give useful information. I will explain how to define a correct restriction (called the trace operator) in this case. This talk is based on a joint work with T. Darvas.