报告人：刘杰博士后      

        中国科学院晨兴数学中心

题目: Anticanonical geometry of Fano manifolds with coindex four

时间：2019年3月18日14:00-15:00

地点：实验楼105

摘要:

Fano manifolds are fundamental objects studied in complex geometry and algebraic geometry, and it is well-known that all Fano manifolds of given dimension form a bounded family. Thus it is natural to ask if it is possible to classify them. This was already done for Fano manifolds of coindex at most three. However, up to now the classification of Fano manifolds with coindex four is very far from known even in dimension four.

In this talk, I will present our recent results on the geometry of the pluri-anticanonical systems of Fano manifolds with coindex four. In particular, I will explain its relation with polarized (singular) Calabi-Yau threefolds. If time is permitted, open questions and difficulties will also be discussed.

报告人简介：

刘杰，2018年于法国Dieudonné 数学实验室取得博士学位，现为中国科学院晨兴数学中心博士后。他的研究领域是双有理几何，研究内容涉及Calabi-Yau 流形与 Fano 流形的几何；目前已在国际主流期刊 Mathematische Annalen，Annales de l'Institut Fourier，Nagoya Mathematical Journal发表/接收论文3篇。