Volume of Hermitian pseudo-effective line bundles and partial Okounkov bodies

主讲人 Speaker:Mingchen Xia
时间 Time: Mon. 15:30—17:00,2021/12/20
地点 Venue:Zoom Meeting ID:849 963 1368 Passcode:YMSC

简介 Description

In the study of the geometry of projective varieties, the theory of big and pseudo-effective line bundles plays a prominent role. It has long been known that there is a satisfactory theory of volumes of such line bundles. When the line bundles are equipped with singular pluri-subharmonic metrics, Tsuji initiated the study of (partial) volumes. In this talk, I will explain the recent progress in this field. As applications, I will explain the construction of partial Okounkov bodies associated to Hermitian pseudo-effective line bundles. The first part is a joint work with Tamás Darvas.

报告人介绍 Profile

Mingchen Xia (Department of Mathematics, Chalmers Tekniska Högskola, Göteborg)