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学术报告

【学术报告及代数几何讨论班】On strictly nef divisors on K-trivial threefolds and fourfolds
发布日期:2022-10-07  浏览量:

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: 20221012日(周三)上午1000-1100


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

 

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