Eamon Quinlan-Gallego (The University of Utah)
Date
Wednesday February 12, 20259:30 am - 10:30 am
Location
110 JEFFERY HALLWednesday, February 12, 2025
Time: 9:30 a.m. Place: Jeffery Hall, Room 110
Speaker: Eamon Quinlan-Gallego (The University of Utah)
Title: The b-function in positive characteristic
Abstract: The b-function (or Bernstein-Sato polynomial) of a holomorphic function is a classical invariant that is defined using differential operators and is now a foundational tool in D-module theory and the theory of singularities in algebraic geometry over the complex numbers. After explaining the definition, and going through some classical results, I will explain what happens when one replaces the complex numbers with a field of positive characteristic: I will explain how one can think of differential operators over such fields, and I will survey some result on the b-function for polynomials over them.