Talk

Logarithmic Discriminants of Hyperplane Arrangements

  • Leonie Kayser (MPI MiS, Leipzig)
G3 10 (Lecture hall)

Abstract

A recurring task in particle physics and statistics is to compute the complex critical points of a product of powers of affine-linear functions. The logarithmic discriminant characterizes exponents for which such a function has a degenerate critical point in the corresponding hyperplane arrangement complement. We study properties of this discriminant, exploiting its connection with the Hurwitz form of a reciprocal linear space.

This is joint work with Andreas Kretschmer (HU Berlin) and Simon Telen (MPI MiS).

Links

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

Anna-Laura Sattelberger

MPI for Mathematics in the Sciences Contact via Mail