View abstract

Session S07 - Differential operators in algebraic geometry and commutative algebra

Friday, July 16, 13:30 ~ 14:00 UTC-3

D-Modules in (Algebraic) Statistics

Anna-Laura Sattelberger

Max Planck Institute for Mathematics in the Sciences, Germany   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

D-modules encode systems of linear partial differential equations with polynomial coefficients in algebraic terms. Among others, they help to solve problems arising in statistics. For an observed outcome of a discrete statistical experiment, the maximum likelihood estimation problem is to find the parameters that best explain these data. In this talk, I explain several ways how to tackle this problem in terms of D-modules.

View abstract PDF