Title:Arrangements and Likelihood
| Speaker | Maximilian Wiesmann |
| Affiliation | Max Planck |
| Location | MC 5479 |
Abstract: In this talk, we establish connections between hypersurface arrangements and likelihood geometry. The central object is the likelihood correspondence which captures the dependence between data and critical points of the likelihood function of a statistical model parametrized by the polynomials defining the arrangement. In particle physics, this same object is known as the scattering correspondence. The connection to hypersurface arrangements leads to a new description of the prime ideal of the likelihood correspondence, which is often computationally advantageous. This description is based on the Rees algebra of the likelihood module of the arrangement, a module closely related to the module of logarithmic derivations. We present results for generic and graphic arrangements.
There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1pm,