Colloquium DATE 2017-05-10¡@16:10-17:00 PLACE ¼Æ¾ÇÀ]3174±Ð«Ç SPEAKER ³¯ºa³Í ±Ð±Â¡]¥xÆW¤j¾Ç¼Æ¾Ç¨t¡^ TITLE By 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.