Lauren Cranton Heller - Cellular resolutions for normalizations of toric ideals - IPAM at UCLA
Presenter
February 14, 2025
Abstract
Recorded 14 February 2025. Lauren Cranton Heller of the University of Nebraska-Lincoln presents "Cellular resolutions for normalizations of toric ideals" at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop.
Abstract: Cellular resolutions are a type of combinatorially defined chain complex used by Bayer and Sturmfels to resolve toric ideals. We will use a stratification on the span of a lattice to construct cellular resolutions of a larger class of modules, including the normalizations of quotients of toric ideals. This connects results of Bayer, Popescu, and Sturmfels on resolutions of the diagonal for unimodular toric varieties to recent more general resolutions of the diagonal, as suggested by computational experimentation in Macaulay2.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/computational-interactions-between-algebra-combinatorics-and-discrete-geometry/