As part of the R.W. Yeagy Colloquium Series, Dr. David Lax will be speaking at 1:30pm on Friday, April 7 in Math Building 357 on An Order Filter Model for the Algebraic Relations Defining the Grassmannian and its Cousins.
Abstract: The Grassmann manifolds consist of planes in a vector space and have coordinates given by determinants. These coordinates are naturally partially ordered, and the relations among the coordinates are straightening laws–meaning they respect this order. For any of the Grassmann manifolds’ cousins, the ‘minuscule flag manifolds,’ we present a model for its coordinates that uses colored partially ordered sets and some straightening laws shared by these coordinates.