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.