Colloquium


DATE2017-05-10 16:10-17:00

PLACE數學館3174教室

SPEAKER陳榮凱 教授(台灣大學數學系

TITLEBy the Sea of Varieties of General Type

ABSTRACT In this talk, I will like to introduce some recent joint work with Ching-Jui Lai on geography of varieties of general type. Fixed dimension $n$, there are two fundamental inequalities that govern the relation between volume and genus of varieties of general type. One is the Miyaoka-Yau inequality and the other one is the Noether-type inequality. We will discuss these inequalities in all dimensions $\ge 3$. Moreover, we produce several examples showing the asymptotic behavior of Noether-type inequalities when $n$ goes to infinity. We expect that these examples are on the Noether-line.