Back to Algebraic Geometry Seminar: Fall 2017
Algebraic Geometry Seminar
Date: Tuesday, Sep 12, 2017
Time: 3:30PM - 4:30PM
Location: LCB 215
Linquan Ma
University of Utah
Title |
Perfectoid test ideals |
Abstract |
Inspired by the recent solution of the direct summand conjecture of Andre and Bhatt, we introduce perfectoid multiplier/test ideals in mixed characteristic. As an application, we obtain a uniform bound on the growth of symbolic powers in regular rings of mixed characteristic analogous to results of Ein–Lazarsfeld–Smith and Hochster–Huneke in equal characteristic. This is joint work with Karl Schwede. |
Algebraic Geometry