|Date: Friday, September 16, 2011
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: The central curve of a linear program
Abstract: The central curve of a linear program is an algebraic curve specified by a hyperplane arrangement and a cost vector. This curve is the union of the various central paths for minimizing or maximizing the cost function over any region in this hyperplane arrangement. I will discuss the algebraic properties of this curve and its beautiful global geometry, both of which are controlled by the corresponding matroid of the hyperplane arrangement.
Speaker: Cynthia Vinzant
Institution: U. Michigan