11-6【Mingchen Xia】The trace operator of Kähler currents

Time:2025-10-30Views:12

Speaker: Mingchen Xia (University of Science and Technology of China)

Time: 15:00-16:00, Nov 6, 2025

Venue: room 1329, Building 1 (Section A), New Campus, Shanghai Institute for Advanced Studies, USTC & Tencent Meeting ID: 942 663 0176, password: 202501


     

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.


For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html