Seminar of Algebraic Analysis : Hypergeometric Discriminants, Saiei-Jaeyeong Matsubara-Heo

 Time：13:00 ～ 14:15

Place：Faculty of Science Building  #3, Room 210

Speaker  Saiei-Jaeyeong Matsubara-Heo  (Tohoku University)

Title : Hypergeometric Discriminants

 Abstract :

Given a family of varieties, the Euler discriminant locus distinguishes points where Euler characteristic differs from its generic value. We introduce a hypergeometric system associated with a flat family of very affine locally complete intersection varieties. It is proven that the Euler discriminant locus is its singular locus and is purely one codimensional unless it is empty. Of particular interest is a family of very affine hypersurfaces. We coin the term hypergeometric discriminant for the characteristic variety of the hypergeometric system and establish a formula in terms of likelihood equations. Time permitting, we also mention application to Landau analysis in quantum field theory. This talk is based on Arxiv 2505.13163.

Organizer: Yoko Umeta, Ryosuke Sakamoto, Tatsuki Nishida