Events Calendar
WDSS Intermediate R Workshop
April 22, 2024

Graham Denham - Geometry and Combinatorics (Math)

Date:
Friday, January 10, 2020
Time:
2:30 pm - 3:30 pm
Location:
Middlesex College (MC)
Room: 108
Cost:
Free

Graham Denham (Western University)

Title: Singular loci of configuration hypersurfaces

Abstract: A finite graph determines a Kirchhoff polynomial, which is a squarefree, homogeneous polynomial in a set of variables indexed by the edges. The Kirchhoff polynomial appears in an integrand in the study of particle interactions in high-energy physics, which provides some incentive to study the motives and periods arising from the projective hypersurface cut out by such a polynomial.

From this perspective, work of Bloch, Esnault and Kreimer (2006) suggested that the more natural object of study is, in fact, a polynomial determined by a hyperplane arrangement, which is closely related to the basis generating polynomial of the associated matroid. I will describe joint work with Mathias Schulze and Uli Walther on the singular loci of such polynomials.

Contact:
Adriana Dimova
adimova2@uwo.ca


Powered by Blackbaud
nonprofit software