题目: Severi inequality for varieties of maximal Albanese dimension 

报告人： 张通（Durham University）

时间: 10月28日 4:00 － 5:30 pm

地点：管研楼1208 

摘要:  The so-called Severi inequality for complex surfaces of maximal Albanese dimension dates back to a paper of Severi himself in 1932, in which a gap was found afterwards. It is Pardini who finally gave a complete proof based on the covering trick and the slope inequality of Xiao. In 2009, Mendes Lopes and Pardini proposed a question about generalizing the classical Severi inequality to higher dimensions. In this talk, I will first introduce the classical Severi inequality and explain the above two ingredients in Pardini's proof. Then I will talk about a characteristic p>0 version of the Severi inequality which, a bit unexpectedly, gives a way to the Severi inequality in arbitrary dimension. 

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