[geometry-ml:04229] Complex Geometric Analysis Seminar 12/21

[Kengo Hirachi]

皆様

複素解析幾何セミナー@東大数理のご案内です。

020年12月21日(月)

10:30-12:00   オンライン開催
Martin Sera 氏 (京都先端科学大学)
On a mixed Monge-Ampère operator for quasiplurisubharmonic functions
[ 講演概要 ]
This reports on a joint work with R. Lärkäng and E. Wulcan. We consider mixed Monge-Ampère products of quasiplurisubharmonic functions with analytic singularities (introduced in a previous work with H. Raufi additionally). These products have the advantage that they preserve mass (a property which is missing for non-pluripolar products).
The main result of the work presented here is that such Monge-Ampère products can be regularized as explicit one parameter limits of mixed Monge-Ampère products of smooth functions, generalizing a result of Andersson-Błocki-Wulcan. We will explain how the theory of residue currents, going back to Coleff-Herrera, Passare and others, plays an important role in the proof.
As a consequence, we get an approximation of Chern and Segre currents of certain singular hermitian metrics on vector bundles by smooth forms in the corresponding Chern and Segre classes.

参加URLはこちら（Zoom URLは今学期間共通です．登録は一度大丈夫です)

https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB <https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB>

今後の予定はこちら
https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html <https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html>

講演者も募集中です。

世話人
平地 健吾, 高山 茂晴
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