HomeEventsSeminarsGeometric Analysis 》 Content

The intersection theory of transcendental b-divisors

2026-03-23 16:01:52
报告人 时间 14:00-16:00
地点 E14-301 2026
月日 03-30/31

Host:Jiyuan Han, ITS

Speaker:Mingchen Xia, University of Science and Technology of China

Time:14:00-16:00, Monday, March 30 2026

Venue:E14-301


Title:The intersection theory of transcendental b-divisors I

Abstract:I will explain the notion of b-divisors over a compact Kähler manifold.

In the first talk, we will show that nef b-divisors, being a cohomological notion, are in bijection with a class of currents. The analytic theory can therefore be applied while studying nef b-divisors. As a consequence, we establish the intersection theory of nef b-divisors, as conjectured by Dang—Favre.


Time:14:30-16:30, Tuesday, March 31 2026

Venue:E14-301

Title:The intersection theory of transcendental b-divisors II

Abstract:In the second talk, we will explore consequences of this intersection theory and show how it leads to a number of new inequalities in pluripotential theory.