Speaker
Saiei Matsubara-Heo
Description
Given a family of varieties, the Euler discriminant locus distinguishes points where the Euler characteristic differs from its generic value. In the context of Feynman integrals, this locus corresponds to the Landau variety. We introduce a Lagrangian cycle, which we call a hypergeometric discriminant. The shadow of the hypergeometric discriminant is the Euler discriminant. This approach reveals new facets of the Euler discriminant and would be a key to analyzing its geometry. These include an interpretation in terms of a family of likelihood equations, as well as ongoing work on Fourier transform and projective duality. Time permitting, we will also mention some concrete open questions.
