The moduli space of even surfaces of general type with K^2=8, p_g=4, q=0
发布时间：2015年11月09日
浏览次数：8927
发布者:
主讲人： Dr. Wenfei Liu (School of Mathematical Science, PKU)
活动时间： 从 2015-11-09 00:00 到 00:00
场地： Room 29 at Quan Zhai, BICMR
Title: The moduli space of even surfaces of general type with K^2=8, p_g=4, q=0
Speaker: Dr. Wenfei Liu (School of Mathematical Science, PKU)
Time: 14:00--15:00, November 9
Venue: Room 29 at Quan Zhai, BICMR
Abstract: In the first part of the talk I will introduce briefly moduli theory in algebraic geometry, which is of central interest in the field. Compared with the case of algebraic curves, the moduli spaces of algebraic surfaces of general type, albeit their existence as quasi-projective schemes, can be as bad as possible from certain point of view. I will illustrate this through the results of Catanese and Vakil. Then I will move to the more explicit realm of surfaces of general type with small invariants and present my joint work with Catanese and Pignatelli on the moduli space of even surfaces of general type with K^2=8, p_g=4, q=0, done a couple years ago. Hopefully I will have the time to explain the idea of the construction.
Speaker: Dr. Wenfei Liu (School of Mathematical Science, PKU)
Time: 14:00--15:00, November 9
Venue: Room 29 at Quan Zhai, BICMR
Abstract: In the first part of the talk I will introduce briefly moduli theory in algebraic geometry, which is of central interest in the field. Compared with the case of algebraic curves, the moduli spaces of algebraic surfaces of general type, albeit their existence as quasi-projective schemes, can be as bad as possible from certain point of view. I will illustrate this through the results of Catanese and Vakil. Then I will move to the more explicit realm of surfaces of general type with small invariants and present my joint work with Catanese and Pignatelli on the moduli space of even surfaces of general type with K^2=8, p_g=4, q=0, done a couple years ago. Hopefully I will have the time to explain the idea of the construction.
