Back to Algebraic Geometry Seminar: Spring 2023
Algebraic Geometry Seminar
Date: Tuesday, Jan 31, 2023
Time: 3:30PM - 4:30PM
Location: LCB 323
Quentin Posva
University of Utah
Title |
On the moduli space of stable surfaces in positive characteristic |
Abstract |
Stable varieties are higher dimensional analogues of stable curves. In characteristic zero, it is known that their moduli space is a projective variety. However, this is not known yet in positive characteristic. In this talk, I will first survey recent results about stable surfaces in positive characteristic due to Arvidsson, Bernasconi, Patakfalvi and myself. Then I will sketch an ongoing approach to the properness of the corresponding moduli functor. |
Algebraic Geometry