BIMSA > Complex Geometry Seminar The trace operator of Kähler currents
The trace operator of Kähler currents
Organizers
Genglong Lin , Enric Sole Farre , Yingying Zhang
Speaker
Mingchen Xia
Time
Tuesday, December 30, 2025 8:00 PM - 9:30 PM
Venue
Online
Online
Zoom 928 682 9093 (BIMSA)
Abstract
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.