MATH Seminar

Title: Minimal Free Resolutions of the toppling ideal of a graph and its initial ideal
Seminar: Algebra and Number Theory Seminar
Speaker: Madhusudan Manjunath of Georgia Tech
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2012-11-07 at 4:00PM
Venue: W306
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Abstract: We describe minimal free resolutions of a lattice ideal associated with a graph and its initial ideal. These ideals are closely related to chip firing games and the Riemann-Roch theorem on graphs. Our motivations are twofold: describing information related to the Riemann-Roch theorem in terms of Betti numbers of the lattice ideal and the problem of explicit description of minimal free resolutions. This talk is based on joint work with Frank-Olaf Schreyer and John Wilmes. Analogous results were simultaneously and independently obtained by Fatemeh Mohammadi and Farbod Shokrieh.