Presented by: 
Professor Tony Guttmann (Melbourne)
Thu 18 Feb, 2:00 pm - 3:00 pm
N202 in Hawken (50)

By defining a spanning tree generating function (STGF), I make systematic a connection between spanning trees on a lattice, and lattice Green functions (LGF). This connection makes it possible to obtain new results for one or the other, an/or to discover possibly new identities involving integrals of elliptic integrals and sums of binomial coefficients. New results for LGF in 2d are obtained, and also for d > 3, by identifying the generating functions as solutions of so-called Calabi-Yau ODEs.

No prior knowledge of any of the topics mentioned is assumed