Visiting Assistant Professor of Mathematics Joshua Lesperance gave a talk, "Gorenstein Liaison of Codimension Three Curves," at the Route 81 Conference on Commutative Algebra and Algebraic Geometry. The conference was held at Queen's University in Kingston, Ontario, Canada.
Abstract: Gorenstein Liaison has been studied in recent years as a generalization to the well understood complete intersection liaison in codimension two. We will begin with the basic definitions, and by presenting some of the open questions in the field. Then we shall discuss what results are known about curves of codimension three, with a focus on curves that are either arithmetically Buchsbaum or a union of two plane curves.
Lesperance earned a master's degree and a Ph.D. from the University of Notre Dame. His research interests are algebraic geometry and algebraic curves, and liaison theory.
