代数几何讨论班

报告人：刘海东（中山大学 数学学院)

报告时间: 2022年10月12日（周三）上午10：00-11：00

腾讯会议号：634-496-220   密码: 202210

报告题目:

On strictly nef divisors on K-trivial threefolds and fourfolds

报告摘要:

Serrano’s conjecture predicts that a small deformation of a strictly nef divisor in the direction of the canonical divisor is ample. On K-trivial manifolds (e.g. Calabi-Yau manifolds, hyperkalher manifolds), this conjecture is the so-called ampleness conjecture, saying that a strictly nef divisor on K-trivial manifolds should be ample. In this talk, I will answer partially the ampleness conjecture in dimension 3; I will also show the ampleness conjecture holds true surprisingly in dimension 4 (in the strict sense). The 3-dimensional case is a joint work with Roberto Svaldi; the 4-dimensional case is a joint work with Shin-ichi Matsumura.

报告人简介: 刘海东，中山大学数学学院副教授，研究方向为代数几何，在双有理几何里的极小模型纲领上做出比较重要的工作，在Journal of algebraic geometry, Algebra & Number theory, Mathematische Annalen等期刊发表多篇论文。

邀请人：陈伊凡