# Meeting Details

Title: Ordinary reductions and F-singularities Algebra and Number Theory Seminar Karl Schwede, Penn State I will discuss recent work of Bhargav Bhatt, myself and Shunsuke Takagi relating several open problems. First: whether a smooth complex variety is ordinary after reduction to characteristic $p > 0$ for infinitely many $p$. Second: that multiplier ideals reduce to test ideals for infinitely many $p$ (regardless of coefficients). Finally, whether complex varieties with Du Bois singularities have $F$-injective singularities after reduction to infinitely many $p > 0$.