中国科学院数学与系统科学研究院

数学研究所

中国科学院华罗庚数学重点实验室

华罗庚青年数学论坛

学术报告

报告人： 吴晓俊 博士 （University of Bayreuth）
题  目：Compact Kähler Threefolds with Nef Anticanonical Line Bundles
时  间：2023.10.20（星期五），15:00-16:00
地  点：Zoom会议：868 0912 9621  密码：1020
摘  要：I will delve into the fundamental components within the proof of the structure theorem of compact K\"ahler threefold with nef anticanoncial divisor: positivity of direct image and Segre currents.
In the first lecture, we will commence our exploration with an introduction to pluripotential theory applied to normal varieties. This will serve as a foundation for a deeper discussion on the weak positivity of coherent sheaves and the application of an analogue to Cao-H\"oring within the context of compact K\"ahler singular settings.
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报告人： 吴晓俊 博士 （University of Bayreuth）
题  目：Compact Kähler Threefolds with Nef Anticanonical Line Bundles
时  间：2023.10.24（星期二），16:00-17:00
地  点：Zoom会议：859 5079 9104  密码：1024
摘  要：I will delve into the fundamental components within the proof of the structure theorem of compact K\"ahler threefold with nef anticanoncial divisor: positivity of direct image and Segre currents.
This lecture will embark on the concept of strongly pseudoeffective vector bundles, as defined by Boucksom, Demailly, Paun, and Peternell. This concept is conjectured to be equivalent to the notion of weakly positively curved vector bundles, which appears to be a weaker condition. Furthermore, we will delve into the construction of Segre currents. If time allows, the lecture will culminate in a comprehensive proof of the structure theorem.