Algebraic Geometry Seminar

Seminar information archive ~04/25Next seminarFuture seminars 04/26~

Date, time & place Friday 13:30 - 15:00 ハイブリッド開催/117Room #ハイブリッド開催/117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) GONGYO Yoshinori, NAKAMURA Yusuke, TANAKA Hiromu

2016/06/27

15:30-17:00   Room #122 (Graduate School of Math. Sci. Bldg.)
Christopher Hacon (University of Utah)
Generic vanishing and birational geometry in char p>0 (ENGLISH)
[ Abstract ]
Many precise results on the birational geometry of irregular varieties have been obtained by combining the generic vanishing theorems of Green and Lazarsfeld with the Fourier-Mukai transform. In this talk we will discuss the failure of the generic vanishing theorems of Green and Lazarsfeld in positive characteristic. We will then explain a different approach to generic vanishing based on the theory of F-singularities that leads to concrete applications in birational geometry in positive characteristics
[ Reference URL ]
http://www.math.utah.edu/~hacon/