Back to Commutative Algebra Seminar: Spring 2024
Commutative Algebra Seminar
Date: Friday, Jan 12, 2024
Time: 2:00PM - 3:00PM
Location: LCB 215
Trevor Arrigoni
University of Kansas
Title |
F-invariants of simple algebroid plane branches |
Abstract |
Frobenius thresholds are a family of invariants associated to singularities in positive characteristic. Though originally defined in terms of the splitting properties of Frobenius, Mustaţă, Takagi, and Watanabe showed in 2005 that Frobenius thresholds are closely related to the Bernstein-Sato polynomial and other invariants of singularity in characteristic zero. In this talk, we will present algorithms to compute Frobenius thresholds of a natural family of irreducible power series in two variables. These algorithms look at computing Frobenius thresholds as an integer programming problem. The integer programs discussed here build upon those recently developed by Hernández and Witt to compute the roots of the Bernstein-Sato polynomial for this family of curves. |
Commutative Algebra