14–18 Oct 2024
Max Planck Institute for Physics
Europe/Berlin timezone

Euler Discriminant of Complements of Hyperplanes

16 Oct 2024, 11:00
45m
Room A.1.01/03

Room A.1.01/03

Speaker

Claudia Fevola (Inria Saclay)

Description

The Euler discriminant describes the locus of coefficients that cause a drop in the Euler characteristic of a very affine variety. In this talk, we focus on the case where the variety is the complement of hyperplanes. I will present formulas for two specific scenarios: when the coefficients are sparse and when they are restricted to a subspace of the parameter space. These formulas enable the computation of singularities in Euler integrals of linear forms, with applications in cosmology. This is joint work with Saiei Matsubara-Heo.

Presentation materials