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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).

Recorded lecture

Saskia Gutzschebauch

MPI for Mathematics in the Sciences Contact via Mail

Anna-Laura Sattelberger

MPI for Mathematics in the Sciences Contact via Mail